How many square meters in the toilet. How to calculate the floor area in rooms of different shapes - examples. Reasons for calculating the area of \u200b\u200bthe room
Why you need to know the floor area
Determining the area of a rectangular room
Calculation of the area of the room of the wrong layout
Finding the area of a triangular room
How to calculate the area of the walls of a room
Proportions between floor and window area
It is impossible to repair 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 someone who prefers to make repairs with his own hands.
Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. To do this, you will need the original data. For this reason, it is important to know how to calculate the floor area accurately. This is especially true for uneven surfaces and rooms with a non-standard layout.
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 you calculate 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 \u003d 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 desired value will be 12 square meters. m.
In the event that the room has a fireplace or built-in furniture, then you need to find out their area and subtract from the total area. In the case of a major overhaul of the floor, all unnecessary in the room will have to be dismantled.
Calculation of the area of the room of the wrong layout
It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses in the layout there are niches, triangular recesses and rounded elements, as in the photo.
In this case, before calculating the quadrature of the floor, the layout of the room must be divided into separate zones. For example, if the room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of \u200b\u200beach of them and add the results.
Finding the area of a triangular room
When another part of the room is not perpendicular to the main area, this means that there is also a triangle between the two rectangles, which has a right angle.
In this case, the area of the triangle is calculated by the formula: S \u003d (a x b): 2 and added to the grand total. For example, a \u003d 2, b \u003d 3, then S \u003d (2x3): 2 \u003d 3 m².
You can define the area in another way:
- First calculate the square of the rectangle.
- Determine the area of the beveled triangular corner.
- Subtract the area of the triangle from the quadrature of the rectangle.
In the case when the triangle does not have a right angle, then use the Heron formula S \u003d √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 semiperimeter of the triangle p = (5+6+7):2 = 9.
- Digital values are substituted into the Heron formula and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) \u003d 14.7 m².
The square of the premises is rounded
Often, a similar form is present at the 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 to the area of the rectangle, applying the formula S = πR²: 2, in which:
R² is the radius of the circle squared.
For example, the room has a protruding semi-circular balcony with a radius of 1.5 meters. Substituting this number into the formula, we get the result: S \u003d 3.14x (1.5)²: 2 \u003d 3.5 m². See also: "How to calculate the square meters of the floor with different shapes of rooms."
How to calculate the area of the walls of a room
The procedure for calculating the area of \u200b\u200bwalls and floor is different. The fact is that before you calculate the quadrature 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, they first find out the perimeter of the room and multiply 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.
In this case, one should not forget about the quadrature of the openings of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can be ignored and thus provide a certain supply of materials.
Proportions between floor and window area
According to SNiP 31-01-2003, the parameters of windows and their number should depend on the quadrature of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will be 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 31-02-2001. According to this documentation, for every 8 "squares" of the floor surface, there must be at least one "square" of a source of natural light flux. On the attic floors, this proportion cannot be less than 1:10.
To ensure high-quality repairs, you need to find out in advance how to calculate the floor area and other necessary dimensions of the room. The preparatory stage also provides for the purchase of building materials and then during the repair process, costs will be minimized, since there will not be large residues and the cost of delivery will be inexpensive.
The manual method of calculating how to find out the floor area will take longer than when making calculations on an existing building 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
Wall and Floor Web Calculator
The web calculator handles 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 needed to calculate the material and the total cost of finishing work.
The price for laying tiles, gypsum, screeds, wallpaper for gluing and painting is determined in UAH per square meter. It is assumed that material consumption is multiplied by multiplying the coating by the layer thickness. Material consumption calculators.
Perimeter - the total length of the walls of the room - we use to find out how much it will cost to install and finish for bagpipes and spacers.
What dimensions are required for calculations?
For calculations, a measuring strip or a 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 the 3D editor
We install an editing program on the computer, for example, ArchiCAD, AutoCAD, SketchUp.
Draw the space to fit, find the data, and mark the pieces you need.
advantage: Don't count by hand. Appropriate to use to define areas in spaces with irregular and complex geometry.
flaw: you need to spend some time learning the programs. And without a computer or tablet, you won't be able to do this.
We think it's handmade
Dimensions are listed, smartphone, drywall or wall. For calculations, we use a calculator, a spreadsheet editor (Exel) or consider it a column.
How to calculate square meters
advantage: You can directly count on the object, set dimensions as needed. It is enough to have a pencil and a smart head.
flaw: it's easy to make a mistake, miss a size, 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.
Then multiplication gives square or linear counters.
To calculate the cost of labor, sufficient accuracy is up to 1 cm (two decimal places). For example, the length of the room is 5.62 m.
The received information is in the appropriate format. Who is more convenient than the piece of paper that owns the computer.
If we have size information, we calculate with fingers, paper, or Microsoft Excel.
The result of the calculation gives us the length of the walls in meters (in meters). 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 space walls
- H - the 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 it in a column boring and long, enter the data into the wall and floor calculator on the web, press "Enter" and get the result immediately.
When the space is irregular, divide it into many rectangles, find the area of each of them, and then add it.
Do you have questions or answers?
Home → Legal advice → Terminology → Area units
Units of land area measurement
The system adopted in Russia for measuring land areas
- 1 weave = 10 meters x 10 meters = 100 sq.m
- 1 hectare \u003d 1 ha \u003d 100 meters x 100 meters \u003d 10,000 square meters \u003d 100 acres
- 1 square kilometer = 1 sq. km = 1000 meters x 1000 meters = 1 million
sq.m = 100 ha = 10,000 acres
Inverse units
- 1 sq. m = 0.01 acres = 0.0001 ha = 0.000001 sq. km
- 1 weave \u003d 0.01 ha \u003d 0.0001 sq. km
Area units conversion table
| Area units | 1 sq. km. | 1 hectare | 1 acre | 1 weaving | 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 weaving | 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 of measures used to measure land.
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, equal to the area of a square with a side of 10 m, that is:
- 1 ar \u003d 10 m x 10 m \u003d 100 m2.
- 1 tithe = 1.09254 ha.
land measure used in a number of countries using 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 hectare - the abbreviation ha:
1 ha = 100 are = 10,000 m2
In Russia, a hectare is the main unit for measuring land area, especially agricultural land.
On the territory of Russia, the unit "hectare" was put into practice after the October Revolution, instead of the tithe.
Old 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 quarter = 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 \u003d 1/8 tithe \u003d 300 square sazhens \u003d 1365.675 m² ≈ 0.137 ha.
The area of land plots for individual housing construction, private household plots is usually indicated in acres
One hundred- this is the area of \u200b\u200ba plot measuring 10 x 10 meters, which is 100 square meters, and therefore is called a weave.
Here are some typical examples of the sizes 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 Square, and he answers: “You need to multiply the width of Lenin by the length of Lenin")))
It is useful to know this
- For those who are interested in the possibility of increasing the area of land plots for individual housing construction, private household plots, gardening, horticulture, which are owned, it is useful to familiarize yourself with the procedure for registering cuts.
- From January 1, 2018, the exact boundaries of the site 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 the borders at the initiative of the 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” (N 171-FZ “dated June 23, 2014) came into force, in accordance with which, in particular, the procedure for purchasing land plots from municipalities was simplified. with the main provisions of the law can be found here.
- With regard to the registration of houses, baths, garages and other buildings on land owned by citizens, the situation will improve with a new dacha amnesty.
Area search
In preparation for the renovation of a house or cottage, he must correctly calculate the size of the space, which is important when buying materials, but in fact for most repairs. It will not be a mistake in the amount of materials needed (tiles, wallpaper, etc.).
To determine the size of an aircraft, a special square calculator is useful on the Internet, which helps to 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" causes 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: square formula, web calculation of square meters of surface
Loyalty in calculating the area is necessary not only in order to know how much you need to buy repair materials.
It is also possible to follow the work of experts who will carry out repairs.
Methods for calculating square meters of space
First, in order to measure the surface, you must prepare a measuring tape.
It measures the width and length. The results are multiplied. S is the width along the length. Using note and pencil, the data should be written down.
The calculator gives accurate results. If you calculate the area correctly, you can reduce errors during repairs. This must be taken into account with a standard measuring device. Means for calculating the correct size - provide a guarantee of obtaining the required amount of materials, both final and basic.
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 in this way is much more convenient.
- Sometimes the problem lies in measuring all kinds of bulges that occur in space. In this case, you can calculate the area of space if you separately measure these structures and determine their total 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 values obtained. 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 cases 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 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 it calculates the surface of the space that it divides into rectangles, it does not come out.
Calculate the region of space, while this is true, divide it into other shapes such as a circle or a sector of a triangle. The calculator helps you calculate.
- CORRESPONDENCE Heron's formula can be calculated S in space conventionally divided into sectors or triangles: S (total area) times (p-b) times (r-c).
- To understand how to calculate the square of space if it is divided into triangles, the half-dimension of the resulting triangle must be written as follows: "p" is the same (plus b plus c) for dividing "2".
In this case, the lengths of the sides 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 a radius equal to half the diameter of the circle. It's easier to calculate if there is 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.
With accurate information, you can safely resume work on the acquisition of materials and repairs.
In the room, you will find an interesting design and use lighting that will beautify 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 norm of space per person in an office is at least 4.5 m. In practice, most employers do not adhere to this figure - their employees have to huddle for 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 area standards for 1 person
The old all-Union standards for living space per person set a conditional minimum of 5 square meters.
m. It was believed that citizens who lived in a room in which each of them accounted for more than this value did not need to improve their living conditions.
Later, the standards for living space per person changed upwards - up to 9, and then up to 12 square meters. m. But not only housing - any human habitat should provide normal conditions for his life.
Modern regulatory legal acts 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 area standard for 1 person is 4.5 sq.
m. refers to a workplace that uses a computer with a flat liquid crystal (LCD) screen;
the same area is provided for each employee of the design bureau, regardless of whether he works on a drawing board or a computer;
in SNiP 2.09.04-87, the standard for office space per person from a low-mobility group (disabled) and moving in a wheelchair is specified - 5.65 and 7.65 sq.
the presence of auxiliary devices for general use - a printer, a large monitor, a scanner, a fax machine, etc.
How to calculate square meters. How to calculate square meters?
- this is another reason to increase the area.
If the duration of a person’s work does not exceed 4 hours, it is allowed to reduce the area due to him to 4.5 square meters. m or equip the so-called hot desk (a desktop not assigned to a specific employee).
Why employers should follow the rules
Employees who are dissatisfied with the created working conditions have the right to initiate an audit from an independent organization, labor inspectorate or trade union.
If the claims are confirmed, the violator is obliged to pay compensation and / or provide increased leave.
The thoughtless desire to save on rent or purchase of office space by cutting the area standard for 1 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;
the imposition of penalties and fines, possible during the certification.
Estimate the number of employees and office equipment and calculate the required area according to the norms.
2. Determine the number of passages between tables with a width of at least 2 m.
3. Approximately find out the number and dimensions of auxiliary furniture and equipment.
4. Take into account the area of the dining area, reception areas for visitors, security post, etc.
By summing up the data obtained, it is possible to normalize the area of the office and thereby avoid violations of the law.
Periodically, we need to know the area and volume of the room. This data may be needed when designing heating and ventilation, when purchasing building materials, and in many other situations. It is also periodically required to know the area of \u200b\u200bthe walls. All these data are calculated easily, but first you have to work with a tape measure - measure all the required dimensions. How to calculate the area of \u200b\u200bthe room and walls, the volume of the room and will be discussed further.
Room area in square meters
- Roulette. Better - with a latch, but a regular one will do.
- Paper and pencil or pen.
- Calculator (or count in a column or in your head).
A set of tools is simple, there is in every household. It is easier to measure with an assistant, but you can do it yourself.
First you need to measure the length of the walls. It is desirable to do this along the walls, but if they are all full of heavy furniture, you can take measurements in the middle. Only in this case, make sure that the tape measure lies along the walls, and not obliquely - the measurement error will be less.
Rectangular room
If the room is of the correct shape, without protruding parts, it is easy to calculate the area of \u200b\u200bthe room. Measure the length and width, write it down on a piece of paper. Write the numbers in meters, put centimeters after the decimal point. For example, length 4.35 m (430 cm), width 3.25 m (325 cm).
We multiply the found numbers, we get the area of \u200b\u200bthe room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this value, usually two digits after the decimal point are left, which means we round off. In total, the calculated quadrature of the room is 14.14 square meters.
Irregular room
If you need to calculate the area of a room of irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then they measure all the necessary dimensions, make calculations according to known formulas (there is a table just below).
One example is in the photo. Since both are rectangles, the area is calculated using the same formula: multiply the length by the width. The figure found must be subtracted or added to the size of the room, depending on the configuration.
Complex room area
- We consider the quadrature without a ledge: 3.6 m * 8.5 m = 30.6 sq. m.
- We consider the dimensions of the protruding part: 3.25 m * 0.8 m = 2.6 sq. m.
- We add two values: 30.6 square meters. m. + 2.6 sq. m. = 33.2 sq. m.
There are also rooms with sloping walls. In this case, we split it so that we get rectangles and a triangle (as in the figure below). As you can see, for this case it is required to have five sizes. It could have been split differently by putting a vertical rather than a horizontal line. It does not matter. It just requires a set of simple shapes, and the way they are selected is arbitrary.
In this case, the calculation order is:
- We consider the large rectangular part: 6.4 m * 1.4 m \u003d 8.96 square meters. m. If we round up, we get 9.0 sq.m.
- We calculate a small rectangle: 2.7 m * 1.9 m \u003d 5.13 square meters. m. Rounding up, we get 5.1 square meters. m.
- We calculate the area of the triangle. Since it is with a right angle, it is equal to half the area of a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1.235 sq. m. After rounding, we get 1.2 square meters. m.
- Now we add everything up to find the total area of the room: 9.0 + 5.1 + 1.2 \u003d 15.3 square meters. m.
The layout of the premises can be very diverse, but you understand the general principle: we divide into simple figures, measure all the required dimensions, calculate the quadrature of each fragment, then add everything up.
Another important note: the area of \u200b\u200bthe room, floor and ceiling are all the same values. Differences can be if there are some semi-columns that do not reach the ceiling. Then the quadrature of these elements is subtracted from the total quadrature. The result is the floor area.
How to calculate the square of the walls
Determining the area of walls is often required when purchasing finishing materials - wallpaper, plaster, etc. This calculation requires additional measurements. To the already existing width and length of the room you will need:
- ceiling height;
- height and width of doorways;
- height and width of window openings.
All measurements are in meters, since the square of the walls is also usually measured in square meters.
Since the walls are rectangular, the area is calculated as for a rectangle: we multiply the length by the width. In the same way, we calculate the dimensions of windows and doorways, subtract their dimensions. For example, we calculate the area of \u200b\u200bthe walls shown in the diagram above.
- Wall with a door:
- 2.5 m * 5.6 m = 14 square meters m. - the total area of \u200b\u200bthe long wall
- how much does a doorway take: 2.1 m * 0.9 m = 1.89 sq.m.
- wall excluding doorway - 14 sq.m - 1.89 sq.m. m = 12.11 sq. m
- Wall with a window:
- square of small walls: 2.5 m * 3.2 m = 8 sq.m.
- how much does a window take up: 1.3 m * 1.42 m = 1.846 sq. m, rounding up, we get 1.75 sq.m.
- wall without a window opening: 8 sq. m - 1.75 sq.m = 6.25 sq.m.
Finding the total area of the walls is not difficult. We add up all four numbers: 14 sq.m + 12.11 sq.m. + 8 sq.m. + 6.25 sq.m. = 40.36 sq. m.
Room volume
Some calculations require the volume of the room. In this case, three values are multiplied: width, length and height of the room. This value is measured in cubic meters (cubic meters), also called cubic capacity. For example, we use the data from the previous paragraph:
- length - 5.6 m;
- width - 3.2 m;
- height - 2.5 m.
If we multiply everything, we get: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. So, the volume of the room is 44.8 cubic meters.
Starting any, you need to know how to calculate the area of \u200b\u200bthe room. This knowledge will help you choose the right amount of materials, as well as correctly calculate the dimensions. Such knowledge is also necessary when you need to check the area indicated in the documents.
Our review will help you remember school knowledge and tell you how to put it into practice. In addition, you can use a special calculator.
Important information! When performing calculations for a room with ledges, columns and niches, it is necessary to take into account their location and configuration.
How to calculate the area of a triangle
Let's figure out how to calculate the area of a triangle. If there is an element in the form of a right angle in an irregularly shaped room, then the following formula can be applied:
S=(a*b)/2;
There are other options for calculations. To calculate the area of a triangle, you can first determine the quadrature of the rectangle, and then calculate the area of the triangular corner. Then the value of the triangular part is subtracted from the quadrature of the rectangle.
If there is no right angle, then you can use Heron's formula:
S=√p(p-a)(p-b)(p-c);
Wherein a, b, c represent the sides of a triangle, and R- semiperimeter. To find out, all sides should be summed up, and then divided by 2.
To calculate the area of a given figure, you can multiply the length of the base by the height drawn from this base, and then divide the result by 2.
How to find the area of a rectangle
Often there are rooms that look like a rectangle. To calculate the area of a rectangle, an online calculator is considered the best option. But simple calculations can be done independently. There should be no protruding parts. Measure the width and length. Entries must be made in meters.
To calculate the area of a rectangle, you need to multiply the obtained values. After the decimal point, you can leave only two digits, and round the rest.
The question often arises of how to calculate the area of a rectangle if there are niches. In this case, the space is divided into several figures, and they are considered separately. There is another formula for calculating area. In this case, the perimeter of the room must be multiplied by the height. To calculate the perimeter, you need to add the length and width, and then multiply them by two.
How to calculate the area of a trapezoid
To calculate the area of a trapezoid, it is important to know the lengths of the two parallel sides, as well as the height. In this case, the height is the perpendicular between the sides.
Here is a formula you can use:
S=½ (A+B)*h;
It should be borne in mind that nothing will change from the angles of the sides. But the height is recommended to measure in several places. This approach will make sure that the two sides are parallel.
Knowing such a formula is also useful when calculating the areas of premises of polygonal configurations. For example, an unusual space can be divided into a rectangle and a trapezoid.
There is also a special calculator for calculating rectangular and trapezoidal rooms. In this case, the difference is that the length of the rectangle will be the same. If necessary, you can make adjustments with the existing ledges and niches.
To determine the perimeter, you need to measure the lengths of the four sides, and then add them.
How to calculate the area of a circle
Sometimes it is required to calculate the area of a circle, since there may be separate sections of rounded configurations in the room. Such knowledge will also be useful when calculating arched door or window openings. Consider shapes based on a circle. Most often there are segments, quarters of a circle or semicircles.
Such calculations are necessary if there is a bay window or a combination of a balcony with a room. In this case, the value of the protruding circle is first determined, and then the resulting indicator is added to the rest of the area.
The following formula is used to calculate the area of a circle:
S=πR²/2,
π equals 3.14. BUT R² is the radius of the circle squared.
Correct calculation of the sector and segment area
A special formula for the area of a sector of a circle is included in the calculator for calculations. Such a formula looks like this:
S= R²*arcsin (c/2R) -0.25*C*√(4 R²-C²);
How to calculate the area of a room: a method for calculating the floor
You can calculate the floor area. This procedure consists of the following steps. First of all, you need to free the walls of the room. It is better to take measurements in an empty room. If the room is rectangular, then you can multiply the two sides. In reality, the sides may differ slightly, which is why it is important to measure all sides. In some cases, the room may not be the correct configuration. In such a situation, the entire space is divided into separate rectangles. In this case, you can draw a diagram with all sizes. Then the area of individual plots is calculated. By the way, the room will not necessarily consist only of rectangles. It can contain triangles and even circles.
If you do not know how to calculate the square meters of a room, then you can use a special calculator. When calculating the dimensions, it is not necessary to observe all dimensions up to a centimeter. Rounding is often used. Sometimes it is required to take into account different recesses and ledges in the walls.
When calculating, it is important to take into account their purpose. If you need to know the values \u200b\u200bfor installation, then you can ignore the space occupied by heavy furniture.
There are options when different floor levels are used in the room. In such a situation, it is also required to divide the room into separate zones. Do not take measurements along the wall, as it may have a curved surface.
It is difficult to determine the area by the floor, which has a variety of protrusions in the form of waves or semicircles.
Note! If the room is L-shaped, then in addition to two rectangular figures, there is also a triangle in it. To determine its area, you can multiply one leg by another.
How to calculate wall area
To determine the area of the walls, you need to know how to calculate the perimeter of the room. Determination of the area is often required for the purchase of all kinds of finishing materials. In addition to the length and width of the room, you will need to find out the height of the room, as well as the dimensions of the door and window openings.
When calculating, it should be borne in mind that the height of the ceilings, even in the same room, can vary, especially if. The values of all walls are calculated separately, and then window and door openings are subtracted from them.
The exact values can be determined using the calculator for calculating the area of \u200b\u200bthe walls of the room. Sometimes you need to determine the volume of the room. In such a situation, it is necessary to multiply three values: the length, width and height of the room. This indicator is measured in cubic meters.
If the room has a multi-level zoning, then you can carry out the following calculations:
- measure all sections of the walls. Measurements are recommended to be taken closer to the ceiling;
- calculate floor area indicators;
- on each vertical section, it is necessary to measure the length and height, and then multiply these values;
- add the indicators to the gender value.
Each room has optimal parameters that can be taken into account when planning a construction site. The minimum living space is 8 sq. m. A general room, such as a hall or living room, can have an area of 14 to 25 square meters. m. The minimum height of the room is 240 cm. If the ceiling is more than three meters, then such a space is more difficult to heat. The kitchen must have an area of at least 6 square meters. m.
The correct calculation of the area of \u200b\u200bthe room is a guarantee of high-quality conduct. This approach will minimize the cost of purchasing materials.
Any surface in the room is subject to repair, whether it be walls or floors, so it is very important to know how to calculate the area of the room in whole or in parts.
But in an ordinary room, the floor always corresponds to the ceiling and is often calculated using the formula for the rectangle S = AB, where A and B If you are going to make repairs in a house that was not built by you or without your participation or control, make sure that the lengths of opposite walls in each room are the same. The room sometimes looks like a perfect rectangle, but in fact one wall can be several centimeters shorter than the other.
Using the above formula, you will get a fair amount of error. To avoid it, determine the correct rectangle with measurements, and for all deviations from it, count square meters separately. You will most likely be dealing with triangles where 2 sides meet at 90 degrees, so the formula would be S = AB/2 where A and B- the length of the legs.
The biggest difficulty faced by those who started repairs on their own is irregularly shaped rooms. For example, it is difficult to perform calculations if, for example, an arched partition separates the living room from the corridor. Therefore, in this case, before calculating the square meters on which the room will be repaired, it is necessary to clearly define the boundary, as well as the radius of the bend of the wall.
Further, in order not to mess with the sines and cosines of the angles, we take the arc and the two radii limiting it as a sector of the circle and consider its square meters: S = Lr / 2, where L is the length of the arc, and r- radius, the values \u200b\u200bof which are not difficult to find out by measurements. Now you need to determine the distance between the ends of the arcuate bend of the room. This will give us the chord of the calculated sector, together with the radii it will form a triangle, the area of \u200b\u200bwhich is found by the formula S \u003d b √ (4a 2 - b 2) / 4, where b- the base of the triangle (the chord of the sector), a– its side (sector radius).
We subtract the quadrature of the triangle from the previously determined area of the sector and get the value for the complex section of the room, which has the shape of a segment. To make it easier to determine square meters for planning a complex configuration, it is enough to break the room into simple figures and calculate the area for each separately, and then add the results.
Consider the option when you need to make repairs in a room with 5 walls. If this is just a standard room, one of the corners of which is cut off, then everything is quite simple. We first consider the area, as if it were an even rectangle, that is, along the two longest adjacent sides, the formula S \u003d AB. Then we draw from the ends of the fifth wall lines perpendicular to each other, converging at one point, and measure the resulting sides of a right-angled triangle. Next, we calculate according to the formula S = AB / 2 and subtract the resulting value from the result of the first formula.
But it happens that the room has a "sprout" going at an obtuse or acute angle to the main space. That is, the area includes not only 2 rectangles, but also a scalene triangle. Having determined its boundaries, we measure them, and then use the Heron formula S = √(p(p – a)(p – b)(p – c)), where p– semiperimeter, which is considered as follows p = (a + b + c)/2, here and earlier a, b and c- Sides of a triangle. The result obtained is summarized with the solutions for the two rectangles that make up the wrong layout of the room.
We calculate the area of \u200b\u200bthe walls
Plasterboarding, plastering, painting, tiling - these and other types of work involve the repair of walls that are an integral part of the room. Accordingly, for them, too, you need to correctly calculate the area. All calculations are based on measurements of the perimeter of the room and its height. The results are substituted into the formula S = Ph, here h is the height, and P(perimeter) is calculated as follows: P = 2(A + B), where A and B- the lengths of adjacent walls having a common angle.
It is impossible to repair 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 someone who prefers to make repairs with his own hands.
Why you need to know the floor area
Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. To do this, you will need the original data. For this reason, it is important to know how to calculate the floor area accurately. This is especially true for uneven surfaces and rooms with a non-standard layout.
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 you calculate 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 \u003d 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 desired value will be 12 square meters. m.
In the event that the room has a fireplace or built-in furniture, then you need to find out their area and subtract from the total area. In the case of a major overhaul of the floor, all unnecessary in the room will have to be dismantled.
Calculation of the area of the room of the wrong layout
It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses in the layout there are niches, triangular recesses and rounded elements, as in the photo.
In this case, before calculating the quadrature of the floor, the layout of the room must be divided into separate zones. For example, if the room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of \u200b\u200beach of them and add the results.
Finding the area of a triangular room
When another part of the room is not perpendicular to the main area, this means that there is also a triangle between the two rectangles, which has a right angle.
In this case, the area of the triangle is calculated by the formula: S \u003d (a x b): 2 and added to the grand total. For example, a \u003d 2, b \u003d 3, then S \u003d (2x3): 2 \u003d 3 m².
You can define the area in another way:
- First calculate the square of the rectangle.
- Determine the area of the beveled triangular corner.
- Subtract the area of the triangle from the quadrature of the rectangle.
In the case when the triangle does not have a right angle, then use the Heron formula S \u003d √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 semiperimeter of the triangle p = (5+6+7):2 = 9.
- Digital values are substituted into the Heron formula and the result is obtained: √ (9 x (9-7) x (9-6) x (9-5) \u003d 14.7 m².
The square of the premises is rounded
Often, a similar form is present at the 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 to the area of the rectangle, applying the formula S = πR²: 2, in which:
R² is the radius of the circle squared.
How to calculate the area of the walls of a room
The procedure for calculating the area of \u200b\u200bwalls and floor is different. The fact is that before you calculate the quadrature 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, they first find out the perimeter of the room and multiply 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.
In this case, one should not forget about the quadrature of the openings of windows and doors. Their area is subtracted after the completion of wall calculations. But on the other hand, they can be ignored and thus provide a certain supply of materials.
Proportions between floor and window area
According to SNiP 31-01-2003, the parameters of windows and their number should depend on the quadrature of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will be 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 31-02-2001. According to this documentation, for every 8 "squares" of the floor surface, there must be at least one "square" of a source of natural light flux. On the attic floors, this proportion cannot be less than 1:10.
To ensure high-quality repairs, you need to find out in advance how to calculate the floor area and other necessary dimensions of the room. The preparatory stage also provides for the purchase of building materials and then during the repair process, costs will be minimized, since there will not be large residues and the cost of delivery will be inexpensive.
The manual method of calculating how to find out the floor area will take longer than when making calculations on an existing building calculator, but it allows you to find out more accurate results.