How to calculate the square footage of a room or wall, find out square meters. How to calculate the area of a room in square meters: instructions for measuring a living room, bathroom, kitchen, balcony and garage How to correctly calculate the square meters of a room
Read also
Why do you need to know the floor area?
Determining the area of a rectangular room
Calculation of the area of a room with an incorrect layout
Finding the area of a triangular room
How to calculate the area of the walls of a room
Proportions between floor area and windows
It is impossible to carry out repairs to the floor surface without knowing the exact floor area in a private household or apartment. The fact is that today the cost of building materials is quite high, and every property owner tries to save as much as possible on their purchase. Therefore, information on how to calculate the floor area will not be superfluous for those who prefer to do the repairs themselves.
Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. For this you will need initial data. For this reason, it is important to know how to calculate floor area accurately. This is especially true for uneven surfaces and rooms with non-standard layouts.
There are other reasons when there is a need to accurately determine the dimensions of the floor surface:
- checking the quality of construction work;
- the need for redevelopment of the premises.
Determining the area of a rectangular room
Before calculating the floor area, you should stock up on a calculator and a measuring tape. Most often there are rooms in the shape of a rectangle. To calculate their area, they use a formula known to everyone from school: S = a x b, where a and b are the length and width. For example, a room has parameters of 3 and 4 meters, then the required value will be 12 square meters. m.
If the room has a fireplace or built-in furniture, then you need to find out their area and subtract it from the total area. In the event of a major overhaul of the floor, everything unnecessary in the room will have to be dismantled.
Calculation of the area of a room with an incorrect layout
It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses the layout contains niches, triangular recesses and rounded elements, as in the photo.
In this case, before calculating the square footage of the floor, the layout of the room must be divided into separate zones. For example, if a room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of each of them and add up the results.
Finding the area of a triangular room
When the other part of the room is not perpendicular to the main area, this means that between the two rectangles there is also a triangle with a right angle.
In this case, the area of the triangle is calculated using the formula: S = (a x b): 2 and added to the total. For example, a = 2, b = 3, then S = (2x3): 2 =3 m².
Another way to define the area is:
- First calculate the square of the rectangle.
- Determine the area of the beveled triangular corner.
- The area of the triangle is subtracted from the quadrature of the rectangle.
In the case when the triangle does not have a right angle, then use Heron’s formula S = √p(p - a)(p - b)(p - c).
For example, its sides are 5, 6 and 7 meters, then the calculations are made as follows:
- Find out the semi-perimeter of the triangle p = (5+6+7):2 = 9.
- Numerical values are substituted into Heron’s formula and the result is obtained: √(9 x (9-7) x (9-6) x (9-5) = 14.7 m².
Quadrature of round-shaped rooms
Often a similar shape is present at windows in old houses or on balconies that are combined with rooms. First, calculate 1/2 of the protruding part of the circle and add it to the area of the rectangle using the formula S = πR²:2, in which:
R² is the radius of a circle squared.
For example, the room has a protruding semicircular balcony with a radius of 1.5 meters. Substituting this number into the formula, we get the result: S = 3.14x(1.5)²: 2 = 3.5 m². Read also: “How to calculate square meters of floor for different room shapes.”
How to calculate the area of the walls of a room
The procedure for calculating the area of walls and floors is different. The fact is that before calculating the square footage of the floor, you should find out the length and width of the room, and to calculate the walls you will need to measure its height. Therefore, first find out the perimeter of the room and multiply it by the height of the ceilings.
For example, the floor parameters are 3 and 4 meters, and the height of the room is 3 meters. In this case, the perimeter of the walls will be equal to (3 + 4) x2 = 14 m, and their area S = 14x3 = 42 m².
At the same time, one should not forget about the squaring of window and door openings. Their area is subtracted after completing the wall calculations. But on the other hand, they can be ignored and thereby provide a certain supply of materials.
Proportions between floor and window area
According to SNiP 01/31/2003, the parameters of windows and their number should depend on the square footage of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will range from 1:5.5 to 1:8. As for the upper floors, a minimum proportion of 1:10 is allowed there.
For private households, this norm is regulated by SNiP 02/31/2001. According to this documentation, for every 8 “squares” of floor surface there must be at least one “square” source of natural light flux. On attic floors this proportion cannot be less than 1:10.
To ensure high-quality repairs, you need to figure out in advance how to calculate the floor area and other necessary dimensions of the room. The preparatory stage also involves the purchase of building materials, and then during the repair process, costs will be kept to a minimum, since there will be no large leftovers and the cost of delivery will be inexpensive.
The manual method of calculating how to find out the floor area will take more time than when carrying out calculations on an existing construction calculator, but it allows you to find out more accurate results.
Web tools
We calculate the surface of the walls and floors in the room
Web wall and floor calculator
The web calculator processes the periphery, floor and wall in a rectangular shape. You must enter the length, width and height of the space. Add the size of windows and doors. Windows and doors can be added and removed.
Dimensions are entered in meters, you can use partial values. The results are obtained in linear and square meters.
Why do you need to calculate the surface of walls and floors?
Wall and floor areas are necessary for calculating the material and the total cost of finishing work.
The price for laying tiles, plaster, screeds, wallpaper for gluing and dyeing is determined in hryvnias per square meter. It is assumed that the material consumption is multiplied by multiplying the coating by the layer thickness. Material consumption calculators.
The perimeter—the total length of the room's walls—is what we use to find out how much it will cost to install and finish the pipes and spacers.
What dimensions are needed for calculations?
For calculations, the measuring strip or laser range finder is measured:
- room length
- room width
- wall height
- height and width of door and window openings
What tools are used to calculate areas?
Using a 3D editor
We install an editing program on the computer, for example, ArchiCAD, AutoCAD, SketchUp.
Draw the space according to size, find the data and mark the necessary fragments.
advantage: Don't count by hand. Suitable for defining regions in spaces with irregular and complex geometry.
flaw: you need to spend some time learning the programs. And you won't be able to do this without a computer or tablet.
We believe it is manual
Dimensions are indicated in the list, smartphone, drywall or wall. For calculations we use a calculator, a table editor (Exel) or consider it as a column.
How to calculate square meters
advantage: You can directly rely on the object, set dimensions as needed. All you need is a pencil and a smart head.
flaw: It's easy to make a mistake, miss a dimension, calculate something twice.
How to calculate the surface of walls and floors in a rectangular room?
For example, consider the room in the picture below.
Dimensions are measured in meters.
Multiplication then produces square or linear counters.
To calculate labor costs, sufficient accuracy is up to 1 cm (two decimal places). For example, the length of the room is 5.62 m.
The information received is in the appropriate format. Who is more convenient than a piece of paper that owns a computer.
If we have size information, we calculate using fingers, paper or Microsoft Excel.
The result of the calculation gives us the length of the walls in meters (meters). Along the perimeter is the length of the bags in the room.
P = (length + width) × 2
How to calculate wall area
S = P × H - Sd - So
- P is the volume of the walls of the space
- H - height of the walls of the space
- Sd is the area of all doors in the room
- Also the surface of all windows
The data obtained can be used in the price of an apartment renovation review in Kyiv on the Internet.
If you find this column boring and long, enter the data into the web-based wall and floor calculator, press “Enter” and get the result immediately.
When the space is irregularly shaped, divide it into many rectangles, find the area of each one and then add it.
Do you have questions or answers?
Home → Legal advice → Terminology → Units of area measurement
Units of land area measurement
The system for measuring land areas adopted in Russia
- 1 weave = 10 meters x 10 meters = 100 sq.m
- 1 hectare = 1 ha = 100 meters x 100 meters = 10,000 sq.m = 100 acres
- 1 square kilometer = 1 sq. km = 1000 meters x 1000 meters = 1 million.
sq.m = 100 hectares = 10,000 acres
Reciprocal units
- 1 sq.m = 0.01 acres = 0.0001 hectares = 0.000001 sq.km
- 1 hundred square meters = 0.01 hectares = 0.0001 sq. km
Conversion table for area units
| Area units | 1 sq. km. | 1 Hectare | 1 Acre | 1 Sotka | 1 sq.m. |
| 1 sq. | 1 | 100 | 247.1 | 10.000 | 1.000.000 |
| 1 hectare | 0.01 | 1 | 2.47 | 100 | 10.000 |
| 1 acre | 0.004 | 0.405 | 1 | 40.47 | 4046.9 |
| 1 weave | 0.0001 | 0.01 | 0.025 | 1 | 100 |
| 1 sq.m. | 0.000001 | 0.0001 | 0.00025 | 0.01 | 1 |
a unit of area in the metric system used to measure land plots.
Abbreviated designation: Russian ha, international ha.
1 hectare is equal to the area of a square with a side of 100 m.
The name “hectares” is formed by adding the prefix “hecto...” to the name of the area unit “ar”:
1 ha = 100 are = 100 m x 100 m = 10,000 m2
a unit of area in the metric system of measures is equal to the area of a square with a side of 10 m, that is:
- 1 ar = 10 m x 10 m = 100 m2.
- 1 tithe = 1.09254 hectares.
a land measure used in a number of countries that use the English system of measures (Great Britain, USA, Canada, Australia, etc.).
1 acre = 4840 sq. yards = 4046.86 m2
The most commonly used land measure in practice is the hectare, an abbreviation for ha:
1 ha = 100 are = 10,000 m2
In Russia, a hectare is the basic unit of measurement of land area, especially agricultural land.
On the territory of Russia, the unit “hectare” was introduced into practice after the October Revolution, instead of tithe.
Ancient Russian units of area measurement
- 1 sq.
verst = 250,000 sq. fathoms = 1.1381 km²
- 1 tithe = 2400 sq. fathoms = 10,925.4 m² = 1.0925 ha
- 1 tithe = 1/2 tithe = 1200 sq.
Repair formula: how to calculate the area of a room in square meters
fathoms = 5462.7 m² = 0.54627 ha
- 1 octopus = 1/8 tithe = 300 square fathoms = 1365.675 m² ≈ 0.137 hectares.
The area of land plots for individual housing construction and private plots is usually indicated in acres
One hundred- this is the area of a plot measuring 10 x 10 meters, which is 100 square meters, and therefore is called a hundred square meters.
Here are some typical examples of the size that a land plot of 15 acres can have:
In the future, if you suddenly forget how to find the area of a rectangular plot of land, then remember a very old joke when a grandfather asks a fifth-grader how to find Lenin’s area, and he replies: “You need to multiply the width of Lenin by the length of Lenin”)))
It is useful to familiarize yourself with this
- For those who are interested in the possibility of increasing the area of land plots for individual housing construction, private plots, gardening, and vegetable gardening, which are owned, it is useful to familiarize yourself with the procedure for registering additions.
- From January 1, 2018, the exact boundaries of the plot must be recorded in the cadastral passport, since it will simply be impossible to buy, sell, mortgage or donate land without an accurate description of the boundaries.
This is regulated by amendments to the Land Code. A total revision of borders at the initiative of municipalities began on June 1, 2015.
- On March 1, 2015, the new Federal Law “On Amendments to the Land Code of the Russian Federation and certain legislative acts of the Russian Federation” came into force (N 171-FZ “dated June 23, 2014), in accordance with which, in particular, the procedure for purchasing land plots from municipalities has been simplified& Read more with the main provisions of the law can be found here.
- With regard to the registration of houses, bathhouses, garages and other buildings on land plots owned by citizens, the new dacha amnesty will improve the situation.
Search area
In preparation for renovating a house or cottage, he must correctly calculate the size of the space, which is important when purchasing materials, and in fact for most renovations. There will be no mistake in the amount of materials needed (tiles, wallpaper, etc.).
To determine the size of an airplane, a special square calculator on the Internet is useful, which helps you find the size in square meters. With this, you can get the job done quickly and quickly.
The question of “how to calculate the area of a room” raises many owners of apartments and houses that have a square meter area. However, this is not a problem at all, especially if the measuring tape and calculator help you quickly and correctly find the result.
How to calculate the area of a square: quadratic formula, web calculation of square meters of surface
Loyalty in calculating the area is necessary not only to know how much you need to buy repair materials.
It is also possible to monitor the work of experts who will carry out repair work.
Methods for calculating square meters of space
First, to measure the surface, you must prepare a measuring tape.
It is used to measure width and length. The results are multiplying. S - width along length. Using a note and pencil, the data should be written down.
The calculator gives accurate results. If you have calculated the area correctly, you can reduce errors during repairs. This must be taken into account with a standard measuring device. Tools for calculating the correct size - ensures that the required quantity of materials, both final and basic, is received.
Rules to follow:
- If you want to measure an area, it is important that the data is recorded in meters, the calculator helps prevent problems and calculate correctly.
- When the width and length are multiplied, if you want to calculate the size with 100% accuracy, you will need to add bows around the radiators.
- It is important to understand how to determine the size of a space.
There is no need to calculate openings and window doors at the same time. To calculate correctly, you should always use a calculator. Calculating the area this way is much more convenient.
- Sometimes the problem is measuring all the different kinds of bulges that happen in space. In this case, you can calculate the area of the space if you measure these structures separately and determine their overall size.
The counter is the same as for the entire surface. If you want to calculate the area of a space, you will need to add all the resulting values. For convenience, you need to take into account, with a calculator at hand.
- Before calculating the surface of a room, you need to read this method: calculate the total number of objects and connect to the addition.
The calculator helps you add and prevent errors.
- There are times when it is impossible to calculate the area of a room with an irregular shape. Then you need to consider the following: calculate the area of the space and divide it into rectangular surfaces. If you take a calculator in your hand, you can calculate the area and add all the resulting areas.
- It happens that he calculates the surface of the space, which he divides into rectangles, but it does not come out.
Calculate an area of space, while this is true, divide it into other shapes such as a circle or a triangle sector. The calculator helps you calculate.
- CORRESPONDENCE Heron's formula can be calculated S in a space conventionally divided into sectors or triangles: S (total area) multiplied by (p-b) multiplied by (r-c).
- To understand how to calculate the square of a space if it is divided into triangles, the half-dimension of the resulting triangle should be written as follows: "p" is the same (plus b plus c) for division "2".
In this case, the side lengths of the triangle are a, b, c.
- If you want to calculate the area of a space if it is defined as a circle in the calculation, you need to consider the following formula: surface S (total area) = πr2. It should be said that “pi” has a constant value of 3.14.
R is the radius equal to half the diameter of the circle. It's easier to calculate if you have a calculator. You must exclude any errors.
Once all the results are combined, you can get the correct result - the actual total area of the space.
Having received accurate information, you can safely resume work on purchasing materials and repairs.
In the room, you will find interesting designs and use lighting that will decorate the room and provide high quality lighting. It is important to use the most effective ways to organize housing and homes.
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According to SanPiN 2.2.2/2.4.1340-03, which regulates hygienic requirements for the organization of work, the standard area per person in an office is at least 4.5 m2. In practice, most employers do not adhere to this figure - their employees have to huddle in 2–3 sq. m. Where do office standards come from, why is their non-compliance dangerous for the company, and how to correctly calculate the office area?
Existing standards for area per person
The old all-Union standards for living space per person established a conditional minimum of 5 square meters.
m. It was believed that citizens who lived in a room in which each of them had more than this value did not need to improve their living conditions.
Later, the standards for living space per person changed upward - to 9, and then to 12 square meters. m. But not only housing - any human habitat must provide normal conditions for his life.
Modern regulations have established several sanitary and epidemiological requirements for office premises that prevent the emergence of a threat to the health and life of employees:
the mentioned standard area for 1 person is 4.5 sq.
m. refers to a workstation where a computer with a flat-panel liquid crystal display (LCD) screen is used;
the same area is provided for each employee of the design bureau, regardless of whether he works on a drawing board or a computer;
SNiP 2.09.04-87 specifies the standard area in the office for a person from the low-mobility group (disabled) and using a wheelchair - 5.65 and 7.65 sq.
availability of auxiliary devices for general use - printer, large monitor, scanner, fax, etc.
How to calculate square meters. How to calculate square meters?
- This is another reason to increase the area.
If a person’s work duration does not exceed 4 hours, it is permissible to reduce the area assigned to him to 4.5 square meters. m or set up a so-called hot desk (a desk not assigned to a specific employee).
Why an employer should adhere to the rules
Workers who are dissatisfied with the created working conditions have the right to initiate an inspection from an independent organization, labor inspectorate or trade union.
If the claims are confirmed, the violator will be required to pay compensation and/or provide increased leave.
A thoughtless desire to save on renting or purchasing office space by reducing the standard area per person is a direct path to the emergence of critical moments for doing business:
growing discontent in the team;
gradual decrease in motivation and performance;
imposition of penalties and fines possible during certification.
Estimate the number of employees and office equipment and, according to the standards, calculate the required area.
2. Determine the number of passages between tables with a width of at least 2 m.
3. Find out approximately the number and dimensions of auxiliary furniture and equipment.
4. Take into account the area of the dining area, reception areas, security post, etc.
By summing up the data obtained, you can bring the office area to normal and thereby avoid violating the law.
11-06-2015If you are going to renovate your toilet yourself and use tiles, you will need to decide many important issues. First of all, you will need to decide on the type and design of the coating, and then correctly. This stage should be approached with all responsibility so as not to end up with unfinished walls and not to spend extra money on unnecessary material.
Before starting renovations, you need to decide on the design of the room and calculate the necessary materials.
Preparation for calculation
- roulette;
- calculator;
- pen and paper.
Take a tape measure and measure the width and length of the toilet. Add the resulting values and multiply the sum by 2. All measurements must be taken in meters. For example, you need to calculate the tiles for a toilet that is 2 m long and 1.5 m wide. Using the above formula, you will determine that in this case the perimeter of the room will be 7 m.
This simple calculation of toilet tiles also allows you to determine the required number of friezes and borders, if their use is included in the design project you have chosen. To do this, convert the previously calculated perimeter of the toilet into centimeters and divide by the length of one curb. The resulting value is the number of borders that will need to be purchased for cladding. Add a few in reserve.
In practice it looks like this. As an example, we consider the same toilet with a perimeter of 7 m, i.e. 700 cm. Subtract the width of the door from this perimeter (usually about 80 cm), and you will get a value equal to 620 cm. If the length of 1 border is 25 cm, then to cover the room you will need to purchase 620/25 = 24.8, t .e. 25 pieces.
When performing calculations, rounding should always be done to the nearest whole number.
Otherwise, you simply won’t have enough of one product.
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Instructions for calculating floor tiles
To accurately calculate the number of tiles required, you need to divide the floor area by the area of one tile.
Now you need to count the tiles for finishing the floor. It's very simple. All you have to do is calculate the surface area. To do this, take a tape measure and measure the width and length of the floor. In the example under consideration, the surface area will be 2x1.5=3 m². Thus, you will need to purchase a quantity of facing material that would be sufficient to cover 3 m² of surface. Typically, finishing material is sold in packages, each of which is enough to decorate 1 m², so this will not be difficult for you.
Experts say that piece-by-piece calculation of tiles is more accurate. To perform such a calculation, you must first determine the area of one product. For example, if you are going to use square tiles with a side of 50 cm to finish the floor, then the area of one such product will be 0.25 m². Thus, to cover a floor of 3 m² you will need to buy 3/0.25 = 12 tiles. Buy 3-4 more pieces for cutting, possible damage during operation, etc.
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The quantity of tiles for lining the walls of the toilet should be purchased 10-15% more.
The calculation of tiles for wall cladding is also quite simple and understandable. This is easiest to do if the walls of the bathroom are lined with material of the same color and the same size. In this case, you will need to find out the total area of the room. To do this, multiply the previously calculated perimeter by the height of the bathroom, and then subtract the area of the doorway from it. In the example under consideration, the perimeter of the toilet is 7 m. The ceiling is 2.5 m high. A door 80 cm wide and 2 m high was installed. As a result, the total area of the room will be: 7x2.5 – 2x0.8 = 15.9 m².
After this, you will need to determine the area of one ceramic product. In this example, 60x30 cm tiles will be used for wall cladding. Thus, the area of one product is 0.18 m². To determine the required amount of material for cladding, you need to take the total area of the room and divide it by the area of 1 product. In the example under consideration, it will be necessary to use: 15.9/0.18 = 88.3 tiles. That is, you will have to purchase 89 pieces.
To all these values, you should definitely add about 10-15% in reserve. If you are laying the cladding using the direct method, then buy 10% more material. If the cladding is carried out diagonally or other complex methods, the calculated value should be increased by 15%.
It is easy to check the work of builders, determine the volume of work and materials, knowing how to calculate square meters of the floor or walls of a room using simple geometric formulas, simple calculations and simple techniques.
It's called a square meter unit of area, adopted in the international system of units, SI. 1 m² is equal to the area of a square with a side of 1 m.
Knowledge of simple rules and several geometric formulas for calculating the number of square meters of walls, floors, and ceilings will allow you to avoid errors in calculations and correctly determine the required values.
Counting Tools
For measurement and calculation you will need the following: objects and tools:
- measuring tape, required tape length is 3-5 m;
- pencil;
- a sheet of paper for notes;
- calculator;
- construction square.
A square is used to mark perpendiculars - lines that intersect at right angles.
Room area
Knowing the size of the room will be useful for determining the cost of flooring, ceiling finishing, quantity and power of lighting fixtures. By measuring the square footage of the room, they check the compliance of the area stated in the project.
It is more convenient to measure walls from below, at the level of the baseboard. Doubts about the correct shape of the room are eliminated by measuring the diagonals. If the diagonals of the room are equal, then the angles are right and the room is rectangular.
Square or rectangle
The most common room plan shape is square or rectangular. Calculating the square footage by floor will not be difficult:
- measure the length and width of the room using a tape measure;
- multiply numbers among themselves, writing the result on paper;
- protrusions and columns are measured, the area of the elements is calculated according to the same principles, multiplying two sizes;
- the resulting numbers are subtracted from the area of the room.
In this case, the ceiling area is calculated according to the same principle, that is, the length is multiplied by the width minus the technological openings, if any.
By counting the square meters of rooms and adding them up, you can find out the area of the entire house.
Irregularly shaped room
Bay windows, attics and rooms of houses with complex architecture in plan often have an irregular shape. The footage of a non-standard room with semicircles, protrusions, and many corners is more difficult to calculate. Make the task easier by using the principle of dividing complex figures into simple ones.
The floor, represented as a composite figure mentally or displayed on paper, is divided into standard geometric elements. Then calculate the area of the elements one by one and add the resulting values.
L-shaped, T-shaped room shapes in plan divided into rectangles and squares. Semicircular surfaces are taken as part of a circle.
The number of square meters of floor space in a room based on a trapezoid can be calculated in two ways:
- imagining a trapezoid as combination of a square and two triangles. Having received the meaning of the figures, the numbers are added;
- By formula area of the trapezoid.
To calculate using the formula, measure two opposite long walls; these dimensions will give the values of the bases. The height value is determined by measuring a perpendicular drawn from one of the corners of the smaller base to the larger one.
Trapezoid area formula S=1/2(A+B)*H, Where:
- S – the required quantity, the area of the trapezoid;
- A – base of the trapezoid;
- B – base of the trapezoid;
- H – height of the trapezoid.
The area of a trapezoidal room is half the sum of the numerical values of the bases multiplied by the height.
Room volume
The cubic capacity of a room, or volume in construction, is used when calculating the required heating, ventilation, and air conditioning power of a room.
Volume is measured in cubic meters. The unit is written as 1 m³.
From the point of view of geometry, the room as a figure represents hexagon.
By measuring the length, width and height of a rectangular room, multiplying the resulting measurements, you get volume of a simple room.
The volume of a complex-shaped room is calculated as follows:
- the floor of the room is divided into simple geometric shapes;
- calculate the quadrature of each figure;
- the resulting values are added and multiplied by the height to the ceiling.
How to calculate the square footage of walls?
The wall size in square meters is needed to calculate the amount of finishing materials, placement of shelves, mirrors or wall cabinets.
Solid wall
The square footage of the wall is calculated similarly to the floor area - the length and height of the wall are multiplied after measurement between themselves. All depressions and protrusions, if any, are taken into account. The walls of attic rooms under the roof are often broken in shape, the segments are in different planes.
In this case, sections of the wall are measured separately and transferred to paper. Calculate the area of each individual geometric figure and add up the numbers.
With window
When determining the number of square meters of wall, window openings, as a rule, exclude.
The end faces of the walls near the window are called slopes; their dimensions are also not included in the footage of the wall and are calculated separately, for example, when calculating plastering or putty.
With door
The square of the doorway from the wall area when calculating subtract. Slopes, if necessary, are measured separately.
Measuring the area of an irregular figure
When calculating the footage of decorative arched openings or lancet windows, they follow the same principle, breaking down a complex figure into a few simple elements.
Parts of a circle and triangles are combined with squares and rectangles.
Circle
A whole circle in the interior is quite rare. A window, columns, or the central part of a multi-level ceiling can be completely round. Basically you have to deal with parts of a circle: half or segments.
Using a tape measure, take the measurement between two opposite points of the circle. This segment will be called diameter. The radius of a circle is equal to half the diameter.
The area of a circle is calculated using the formula S = π*R², Where:
- R – radius;
- S – area of the circle;
- π is a constant mathematical value, rounded to the value of 3.14.
The numerical value of the area of the semicircle is obtained by dividing the result by 2.
The quadrature of a sector of a circle is equal to the product of half the length of the arc of the sector and the radius of the circle, calculated by the formula S = 1/2 L*R.
Triangle
Triangle area formula S=1/2*H*A, Where:
- S – area of the triangle;
- H – height;
- A is the side of the triangle.
The height of the triangle is obtained by measuring the perpendicular from the angle opposite to the side with a tape measure.
Watch the video below for useful tips for quickly and correctly calculating the square footage of walls and floors:
Using simple formulas from a school geometry course, you can calculate any necessary value for construction or repair.
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If you decide to make one at home, first of all you need to choose and understand how many of them you need. To do this, you need to correctly calculate the area of all surfaces in the apartment. Of course, you can resort to the help of professionals, spending extra money. Or you can do this yourself. This article is devoted to how to calculate the area of a room of different shapes.
Read in the article
Why do you need to know the area of the room and what is needed for calculations?
In what cases is it necessary to calculate the area of a room?
- Of course, first of all to determine the quantity for repair. Many people buy them in reserve and return the excess to the store. However, in this case, a lot of time is lost, and not all stores provide such a service. Therefore, it is more advisable to correctly calculate the area of all surfaces before purchasing.
- In addition, knowing the area makes it easier. After all, even the cost of the work of hired workers in most cases depends on how many square meters they have to process.
- The quantity also depends on the area. However, in most cases, complex calculations are not resorted to when choosing lamps; this issue is usually resolved experimentally.
- And one last thing. One of the main quantities in an apartment is the volume of the premises (in this case, it is necessary to multiply the area by the height), because depending on it they select.
Important! Be sure to check the area when purchasing an apartment, especially if you bought it in a new building. After all, the size of utility bills and often the cost of the living space itself depends on it. For example, the developer (in the case of shared participation in construction) is obliged to reimburse the cost of the missing square meters.
Thus, there are a huge number of reasons why it is necessary to correctly calculate the area of the room. But where to start? First you need to prepare the room to be measured and the tools.
It is advisable to carry out measurements in a completely empty room. If this is not possible, at least clear the areas near the walls, because it is along them that measurements will be taken.
Important! If the room is rectangular, check that its shape is correct before starting measurements. To do this, compare opposite diagonals. If they are equal, you have a regular equilateral rectangle.
So, to determine the area of the room you need the following:
- Roulette. Of course, an electronic device is more convenient, but it has a large error. In addition, such a tape measure cannot measure complex shapes; problems may also arise when working with protruding elements. Therefore, the optimal set is a simple tape measure and a ruler. The main thing is to check their accuracy, since many old or children's devices have a significant error.
- Pencil.
- A piece of paper for calculations and recording results.
- Calculator.
Additionally, you may need a long ruler to check the walls are level.
How to calculate square meter?
In most cases, the area of any surface is calculated in square meters. So how to calculate a square meter?
First, if the room is rectangular, you need to measure its length and width. In this case, it is advisable to use a tape measure with marked divisions of centimeters and millimeters. If you only managed to find a ruler with feet, it doesn’t matter, they can easily be converted to square meters.
Next, the two obtained values in centimeters are converted into meters (it’s easier to do this right away) by dividing by 100. Next, the two values are multiplied, the resulting value is the area of the room in square meters. If you have feet, first multiply the resulting values, this will give you square feet. Then, to convert to m2, multiply the resulting value by 0.093 (if the measurements were taken in yards, multiply the result by 0.84). In this case, a calculator is an excellent solution for calculating square meters.
Interesting! There are many online square meter calculators on the Internet to calculate the area of a room. If you have a computer at hand, this method will be the fastest.
When the figure is received, round it to 2 decimal places; a more precise value will be unnecessary.
How to calculate the area of a room yourself?
A perfect room is a rarity. How to find out the area of a room with projections, niches or curved slopes? The simplest thing is to measure the lengths of all the walls, as well as the angles between them, and then draw a plan of your room on a piece of paper (the scale will most likely be 1:100, that is, one centimeter on paper will correspond to one meter in the room) . Then you need to divide the room into regular shapes (rectangles, triangles, circles, etc.), if possible, and using area calculation formulas, determine the square footage of each area.
Below are the most popular figures, descriptions of the calculation methods of which will help answer the question: “How to calculate the area of a room yourself?”
How to find the area of a rectangle?
How to calculate the area of a rectangle yourself? A room with a regular rectangular shape is the simplest case. To calculate the area of a rectangle, simply multiply its length and width. However, this situation also has its own nuances:
- After measuring one of the sides, measure the second one strictly perpendicularly. Otherwise, measurements may result in significant errors.
- To avoid inaccuracies, measure both parallel walls, since often their lengths are slightly different, and for accuracy it is advisable to take their arithmetic average. That is, add their values and divide by 2.
- Don’t forget to subtract all kinds of protrusions from the resulting area (or add niches).
Interesting! There are many programs on the Internet for calculating the area of a rectangle; the online calculator is the simplest and most convenient of them.
The procedure for carrying out renovations in a room requires mandatory calculation of the area of the walls, ceiling and floor. Since when purchasing building materials, these values help not to make a mistake in their quantity. We’ll talk about methods and examples of calculating the area of a room below.
Reasons for calculating the area of a room
There are a large number of reasons why the area of walls, ceilings or floors in a room is determined. In some cases, data on the total area of the room is required. We suggest that you familiarize yourself with the most common reasons for determining the area of a room or its individual parts:
- if you plan to install suspended ceilings, then it is necessary to determine the total area of the ceiling to determine the amount of materials used during the work;
- when installing suspended ceilings, you also need to calculate the total area of the ceiling in order to pre-plan materials;
- to paint or finish the ceiling, you should also know its area; almost all paint and varnish products and primers have a consumption rate per square meter in their technical specifications;
- finishing walls with plasterboard requires calculating the total area of the walls in order to purchase the required amount of material;
- when hiring builders, for example, to finish a floor with tiles, each square meter has a certain cost, which is calculated at the end of the work;
- when selling a house or when decorating it, such parameters as living space, kitchen area and other rooms are also particularly important.
Room area: calculating floor area
There are various reasons for determining the floor area: repairs and the purchase of materials for its finishing, thermal insulation, calculation of usable area, etc.
The easiest way to determine the area of a room is square or rectangular. In this case, you will need the length and width of the floor, which are multiplied by each other. This option does not require emptying the room of cabinets and other furniture. Simply measuring the distance is enough. However, if there is a fireplace in the room, its area should be subtracted from the total result obtained.
In principle, all items that are permanently on the floor and cannot be moved, for example, built-in cabinets, are calculated from the total floor area.
It seems more difficult to calculate the floor area in a room that has an irregular shape. Standard rooms, of course, have the shape of a rectangle or square, although there are rooms with various kinds of niches, recesses, arches, protrusions, etc. This option for calculating the floor area is more complex, since it requires calculating the area of the figures that make up the room separately.
To calculate the total area, you should divide the space into several regular shapes, in the form of rectangles, trapezoids, squares, etc. For example, if the room is L-shaped, then it is enough to divide it into two rectangles, calculate the area of each of them and summarize the results.
If the room has an L-shape, but it does not run at a right angle, then in addition to two rectangles there is also a triangular space in it, the area of which is also calculated. To calculate the area of a triangle, it is enough to multiply one leg by the other.
If there are semicircular fragments in the form of cylindrical or segmental particles, the calculations become more complicated. To calculate the floor area in such a room, you also need to divide the space into several parts, the area of which is calculated separately.
There are options for rooms that have different floor levels, that is, elevations or slopes. Thus, the room is divided into several zones. For example, in the kitchen there is a dining area and a working area. The same thing happens with a ceiling, for example, a multi-level one. To calculate the area of a floor with ledges or hills, you should again divide the space into parts in the form of rectangles or squares, and measure those same ledges with a ruler and calculate their area. In this way it will be possible to calculate the total area of the room.
Please note that in this case it is preferable to use a tape measure that is installed near the base. In addition, you will need a pencil and notebook to write down all the values. As a result, purchasing paint and determining the amount of finishing material for the floor will be completed quickly.
Do not take measurements from the wall as it may be crooked and will cause inaccuracy in determining the floor area. Particularly difficult is the work of determining the area of the floor on which there are ledges in the form of a semicircle or wave. This situation involves measuring each of the arcs, finding the radii and dividing the area into several geometric shapes. By determining the area for each of them, the general formula for an asymmetric segment is calculated.
Determining the area of a rectangular room and ceiling
A rectangular room is the most typical and common option. To calculate the area, simply multiply the length of the room by its width. For example, if the length of a room is 3.40 m and its width is 5.20 m, then to determine the ceiling area, 3.40x5.20 is enough, resulting in 17.68 square meters. To calculate the perimeter of the ceiling, another formula is used, which implies the sum of twice its length and width. That is, the perimeter of the ceiling is 2x3.40 + 2x5.20 = 17.2 m.
Therefore, in the process of purchasing profiles, 17.2 meters of material will be required. However, it is recommended, even when making accurate calculations, to buy material with a margin of 10-15 percent to compensate for various types of mechanical damage and joints.
What is the area of the room in which there are niches and projections
To determine the area of such a room, you should work hard and perform the following actions:
1. Make a room design taking into account all design features.
2. Measure and mark the heights and lengths along all flat walls.
3. Using a ruler and a square, divide the space into several zones in the form of regular shapes.
4. Each side of the figure should be measured and marked in the project.
5. According to the formula for calculating the area of a figure, determine the values of each of them and summarize the results.
How to determine the area of a room with uneven walls
If there is a room in which the walls have the form of polyhedra or indirect disproportionate figures, calculations are much more difficult to carry out. Measuring the perimeter in such a room is quite simple. You should use a tape measure and walk around the entire room with it, measuring each section separately.
The area of the room is determined by sketching and designing the room. After the sketch is ready, we divide the space in such a way as to obtain the maximum number of proportional figures in the form of a square, triangle or rectangle.
In order to determine the area of a segment that has the shape of a rectangle with identical edges, it is enough to measure the size of the legs, which are multiplied among themselves and divided in half. That is, to determine the area of a triangular segment with legs of 0.5 and 0.9 m, the following calculations should be carried out:
0.5x0.9/2= 0.225 square meters.
How to calculate the area of a room that has a multi-level ceiling
A ceiling with ledges is more difficult to calculate, but it is quite possible. There are multi-tiered ceilings that have the shape of straight lines and are easy to calculate, but there are structures that require special care, since they consist of arcing or wave-like fragments that require special efforts to calculate.
Calculating each of the sections is too time-consuming and expensive, especially since the end result is not always the correct result. After all, arcs designed on the ceiling can be arbitrary.
The easiest way to determine the area of a room is by the total floor area. To do this, you should perform a number of actions:
1. Measure all straight sections of walls.
It is preferable to take measurements closer to the ceiling, since the length of the wall above and below the room may differ.
2. Determine the floor area using the previously indicated methods.
3. On each of the vertical sections, measure their height and length and multiply these indicators.
4. Add them to the total floor area.
Determining the total area of the room
In order to answer the question of how to find out the area of a room in square meters, we suggest that you read the instructions that will help you complete this task:
1. Take care to clean the space near the walls.
The walls of the room must be freely accessible. This will improve the accuracy and precision of the measurement. If possible, it is better to vacate the entire room, since certain calculations will require measuring the central areas.
2. Identify areas in the room that have the correct shape.
If the room has the shape of a rectangle, then it does not need to be divided. Otherwise, the room is divided into shapes in the form of squares, semicircles, trapezoids, triangles or rectangles.
3. Make a sketch of the room, this will make the work easier.
Measuring the area of the room must be done according to a sketch on which all measurements are noted. Tip: If there is no paper and if you need to take urgent measurements, use adhesive tape that is attached to each wall.
4. Length and width of the room, area.
Each wall should be measured in width and length, preferably twice. In order not to measure the entire wall, it needs to be divided into several fragments, and in the end, the results obtained should be summed up.
In order to ensure that the calculation is correct, if there is free time, measurements are taken twice.
5. Determine the area of each plot:
- The area of a rectangle is equal to its length times its width;
- The area of a square is one of its squared sides;
- the area of a triangle is the height and side, multiplied together and the resulting value is divided by two;
- The area of a circle is Pi multiplied by the radius squared.
6. The areas of previously determined areas are added together.
Determining the minimum area of a room
1. Plots in the form of a rectangle.
Using a tape measure, the length and width of the area are measured and multiplied. Data is most often rounded to the nearest centimeter.
2. Triangle.
The area of a given area is determined by multiplying one side of the triangle by its height, that is, the line drawn from the top of the triangle that divides it into two equal parts. The resulting value is doubled.
3. Circle or semicircle.
Definition of radius. This value is squared and multiplied by Pi. If there is a semicircle, the value is divided into two.
In addition, there are special online calculators on the Internet that allow you to carry out all the calculations quickly and efficiently. To work with them, just select the shape of a section of the room, measure it with a tape measure and enter the data. The program itself will carry out all the necessary calculations and determine the area.
Optimal room area
Each room has its own size and during the planning of the house, this factor is taken into account according to their purpose. The minimum area of an ordinary living room is eight square meters.
The area of the common room or living room should be from 13 to 23 square meters. The bedroom should be located in the corner of the house, and should not be a walk-through room.
The minimum height of a living space is 240 cm. It is not recommended to equip rooms with a height of more than 300 cm, since they are completely impractical and heating them in winter will require a large amount of material investments.
Each room should have natural light. At least 30% of all walls should be windows. Please note that it is preferable to install windows on the south side, since in winter, on the north side, they will provoke large heat losses.
If the living area of a house or apartment is from 15 to 55 square meters, then the minimum kitchen area should be 6 square meters. When planning a kitchen in buildings with a living area of more than 55 square meters, the kitchen should occupy at least a fifth of the entire house.
If the kitchen occupies more than 10 square meters, it is possible to use it as a dining room or a room for entertaining guests. The minimum width of the hallway is 140 cm, and it must also have natural lighting.
For a children's room, an area of 10-15 square meters is enough. The smallest ones should be the bathroom and toilet. Their area is 4-8 square meters.