From m to hectares. Calculator for calculating the area of ​​an irregularly shaped land plot

From m to hectares. Calculator for calculating the area of ​​an irregularly shaped land plot

This online calculator helps to calculate, determine and calculate the area land plot V online mode. The presented program can correctly suggest how to calculate the area land plots irregular shape.

Important! The important area should fit approximately into the circle. Otherwise, the calculations will not be entirely accurate.

We indicate all data in meters

A B, D A, C D, B C— The size of each side of the plot.

According to the entered data, our program performs online calculations and determines the area of ​​land in square meters, acres, acres and hectares.

Method for determining the size of a plot manually

To correctly calculate the area of ​​plots, you do not need to use complex tools. We take wooden pegs or metal rods and install them in the corners of our site. Next, using a measuring tape, determine the width and length of the plot. As a rule, it is enough to measure one width and one length, for rectangular or equilateral areas. For example, we have the following data: width – 20 meters and length – 40 meters.

Next we move on to calculating the area of ​​the plot. At correct form plot, can be used geometric formula determining the area (S) of a rectangle. According to this formula, you need to multiply the width (20) by the length (40), that is, the product of the lengths of the two sides. In our case S=800 m².

After we have determined our area, we can determine the number of acres on the land plot. According to generally accepted data, one hundred square meters is 100 m². Next, using simple arithmetic, we divide our parameter S by 100. The finished result and will be equal to the size of the plot in acres. For our example, this result is 8. Thus, we find that the area of ​​the plot is eight acres.

In the case where the land area is very large, it is best to carry out all measurements in other units - in hectares. According to generally accepted units of measurement - 1 Ha = 100 acres. For example, if our land plot, according to the measurements obtained, is 10,000 m², then in this case its area is equal to 1 hectare or 100 acres.

If your plot is of irregular shape, then the number of acres directly depends on the area. It is for this reason that, using an online calculator, you can correctly calculate the S parameter of the plot, and then divide the result by 100. Thus, you will receive calculations in hundred square meters. This method makes it possible to measure plots complex shapes, which is very convenient.

Total information

Calculation of the area of ​​land plots is based on classical calculations, which are performed according to generally accepted geodetic formulas.

There are several methods available for calculating the area of ​​land - mechanical (calculated according to the plan using measuring palettes), graphic (determined by the project) and analytical (using the area formula based on measured boundary lines).

By far the most in an exact way deservedly considered - analytical. Using this method, errors in calculations, as a rule, appear due to errors in the terrain of the measured lines. This method It is also quite complex if the boundaries are curved or the number of angles on the plot is more than ten.

The graphical method is a little easier to calculate. It is best used when the boundaries of the site are presented in the form of a broken line, with a small number of turns.

And the most accessible and simplest method, and the most popular, but at the same time the biggest error - mechanical method. Using this method, you can easily and quickly calculate the area of ​​land of simple or complex shape.

Among the serious disadvantages of the mechanical or graphical method, the following are distinguished: in addition to errors in measuring the area, during calculations an error is added due to the deformation of the paper or an error in drawing up plans.


Irina, s. Urusovo, Lipetsk region
We want to install greenhouses, we need to make calculations. Tell me how many acres and square meters in 1 ha?
If you indicate the area of ​​a field with a side of several kilometers, then the recording of measurements of the area will be very multi-digit and difficult to pronounce. Therefore, for measuring and recording very large areas, it is more convenient to use units of measurement such as hundred square meters and hectares. Let's try to calculate how many square meters are contained in a hectare and how many acres are 1 hectare.

Square meter

A square meter is a unit of measurement for area. Visually you need to draw a square with a side of 1 m. The area of ​​the square is 1 square meter (we assume 1 x 1 = 1), hence the name.

Sotka

The weaving is also a unit of measurement of area. We imagine a square with a side equal to 10 m. The area of ​​one hundred square meters is 100 square meters (we assume 10 x 10 = 100). It’s easy to remember: one hundred square meters – one hundred square meters.

Hectare

A hectare is the most popular unit of measurement in the agricultural sector. To calculate the area of ​​a hectare, visually draw a square with a side equal to 100 m. The area of ​​a hectare is 10,000 m2 (100 x 100 = 10,000).
Thus, we obtain a clear comparison of units.

What is a hundred, are, hectare, square kilometer? How many hectares, square meters and kilometers are there in one are (area) of land? How many square meters, kilometers and acres are in one hectare of land? How many acres, hectares and square meters are in one square kilometer?

How many square meters in 1, 10, 100, 1000 acres: table

What is one hundred square meters of land? A hundred square meters of land is a unit of measurement for the size of a plot; a hundred square meters is equal to one hundred square meters.

To measure areas, the following units are used: square millimeter (mm 2), square centimeter(cm 2), square decimeter (dm 2), square meter (m 2) and square kilometer (km 2).
For example, a square meter is the area of ​​a square with a side of 1 m, and square millimeter is the area of ​​a square with a side of 1 mm.

You can also say that there are 100 square meters in one hundred square meters. meters and it would be correct if we say in hectares that one hundredth of a hectare is one hundredth of a hectare.

  • A weave is a unit of measurement for the size of a plot, which is often used in dacha or agriculture. In science, it is customary to use an analogue of weaving - ar. Ar (one hundred square meters) is the area of ​​a square with a side of 10 m.
  • Based on the name of this measure, you can already guess that we're talking about about hundreds of meters.
  • Indeed, one hundred square meters is equal to 100 m2.
  • In other words, one hundred square meters will be equal to the area of ​​a square with sides of 10 m.
  • Accordingly, ten hundred square meters will have 1000 m2.
  • 100 acres contain 10,000 m2, and 1000 acres contain 100,000 m2.
  • In other words, to calculate how many square meters are in a given number of acres, you need to multiply the acres by 100.

Area units

1 hundred square meters = 100 square meters = 0.01 hectares = 0.02471 acres

  • 1 cm 2 = 100 mm 2 = 0.01 dm 2
  • 1 dm 2 = 100 cm 2 = 10000 mm 2 = 0.01 m 2
  • 1 m 2 = 100 dm 2 = 10000 cm 2
  • 1 are (one hundred square meters) = 100 m 2
  • 1 ha (hectare) = 10000 m2

How many acres in 1, 10, 100 square meters: table

Conversion table for area units

Area units 1 sq. km. 1 Hectare 1 Acre 1 Sotka 1 sq.m.
1 sq. km. 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

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
  • To calculate how many acres there are in square meters, you need to divide the given number of square meters by 100.
  • Thus, in 1 m2 there are 0.01 weave, in 10 m2 - 0.1 weave, and in 100 m2 - 1 weave.

What is a hectare of land?

Hectare- a unit of area in the metric system of measures used for measuring land plots. Field areas are measured in hectares (ha). A hectare is the area of ​​a square with a side of 100 m. This means that 1 hectare is equal to 100,100 square meters, that is, 1 hectare = 10,000 m2.

Abbreviated designation: Russian ha, international ha. 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 m 2

  • A hectare is a unit of measurement for the size of a plot, which is equal to the area of ​​a square with sides of 100 m. A hectare, like a hundred square meters, is mainly used as measuring units only in agriculture and dacha farming.
  • The designation for a hectare looks like “ha”.
  • One hectare is equal to 10,000 m2 or 100 acres.

How many square meters in 1, 10, 100, 1000 hectares: table

  • In order to calculate how many square meters there are in a given number of hectares, you need to multiply the number of hectares by 10,000.
  • Thus, in 1 hectare there are 10,000 m2, in 10 hectares - 100,000 m2, in 100 hectares - 1000000 m2, and in 1000 hectares - 10000000 m2.

Thus, one hectare corresponds to 10,000 m2. It can easily fit a football field (0.714 hectares) or more than 16 summer cottages(each area is 6 acres). Well, Red Square will be twice as large as one hectare, its area is 24,750 m2.

1 square kilometer is 100 times larger than 1 hectare. We determine similarly: 1 hectare - how many acres there are in the composition. One hundred square meters covers an area of ​​100 square meters. Therefore, in comparison with a hectare, a hundred square meters is 100 times smaller than a hectare.

  • 1 weave= 10 x 10 meters = 100 m 2 = 0.01 ha
  • 1 hectare (1 ha)= 100 x 100 meters or 10,000 m 2 or 100 acres
  • 1 square kilometer (1 km 2)= 1000 x 1000 meters or 1 million m2 or 100 hectares or 10,000 acres
  • 1 square meter (1 m2)= 0.01 hundred parts = 0.0001 hectares

How many acres in 1, 10, 100, 1000 hectares: table

Units 1 km 2 1 ha 1 acre 1 weave 1 m2
1 km 2 1 100 247.1 10000 1000000
1 ha 0.01 1 2.47 100 10000
1 acre 0.004 0.405 1 40.47 4046.9
1 weave 0.0001 0.01 0.025 1 100
1 m2 0.000001 0.000001 0.00025 0.01 1
  • To calculate how many acres correspond to a given number of hectares, you need to multiply the number of hectares by 100.
  • So, in 1 hectare there are 100 hectares, in 10 hectares - 1000 hectares, in 100 hectares - 10000 hectares, and in 1000 hectares - 100000 hectares.

How many hectares are in 1, 10, 100, 1000, 10000 ares, square meters: table

ha ar m 2 cm 2
1 km 2 100 ha 10,000 are 1,000,000 m2 1,000,000,000 cm2
1 ha 1 ha 100 are 10,000 m2 100,000,000 cm2
1 are 0.01 ha 1ar 100 m 2 1,000,000 cm2
1 m2 0.0001 ha 0.01 are 1 m2 10,000 cm 2
  • To calculate how many hectares are contained in a given number of acres, you need to divide the number of acres by 100.
  • And to carry out similar calculations with square meters, you need to divide their number by 10,000.
  • So, in 1 hundred parts there are 0.01 hectares, in 10 hundred parts - 0.1 hectares, in 100 hundred parts -1 hectares, in 1000 hundred parts - 10 hectares, in 10000 hundred parts - 100 hectares.
  • In turn, there are 0.0001 hectares in 1 m2, 0.001 hectares in 10 m2, 0.01 hectares in 100 m2, 0.1 hectares in 1000 m2, and 1 hectare in 10000 m2.

How many square kilometers are in 1 hectare?

1 ha = 10,000 m2

1 km 2 = 100 ha

  • A square kilometer is a unit of measurement for the area of ​​land, equal to area square with sides of 1000 meters.
  • There are 100 hectares in one square kilometer.
  • Thus, to calculate the number of square kilometers in a hectare, you need to divide the given number by 100.
  • So, in 1 hectare there are 0.01 km 2

What is 1 ar equal to?

Ar unit of area in the metric system, equal to the area of ​​a square with a side of 10 m

  • 1 ar = 10 m x 10 m = 100 m 2 .
  • 1 tithe = 1.09254 hectares.
  • Arom is a unit of measurement for the size of a plot, equal to the area of ​​a square with sides of 10 m.
  • In other words, an ar is equal to a hundred.
  • In 1 are there are 100 m2, 1 hundred square meters, 0.01 hectares, 0.0001 km2.

How many ares are there in one hectare?

  • There are 100 ares in one hectare, just like one hundred square meters.

What is 1 acre equal to?

Acre land measure used in a number of countries using English system measures (UK, USA, Canada, Australia, etc.).

1 acre = 4840 sq. yards = 4046.86 m2

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. fathoms = 5462.7 m² = 0.54627 ha
  • 1 octopus = 1/8 tithe = 300 square fathoms = 1365.675 m² ≈ 0.137 hectares.
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In order to find out how many hectares are in a square meter, you need to use a simple online calculator. Enter in the left field the number of square meters you are interested in that you want to convert. In the field on the right you will see the result of the calculation. If you need to convert square meters or hectares to other units of measurement, simply click on the appropriate link.

Square meter (m², m²) is a unit of area measurement adopted in the SI, MTS and MKGSS systems. One square meter equal to area square with a side of 1 m. There are 10,000 square centimeters in one square meter.

What is "hectare"

Hectare (ha, ha) is a non-systemic unit of area measurement. One hectare is equal to the area of ​​a square with sides of 100 m. This unit was adopted by the International Committee of Weights and Measures in 1879, and is currently used together with SI units. On the territory of the Russian Federation, areas in forestry and agriculture are measured in hectares. Along with hectares, measurements are carried out in hundredths, equal to one hundredth of a hectare (100 sq. m).

The concept of “hectare” was introduced into practice after 1917 and replaced tithes - 1 hectare was equal to 11-12 tithes. Since the 1930s, the abbreviated version "ha" has entered common speech. To visualize an area of ​​one hectare, think of a rugby field (1.008 hectares) or a football field (0.714 hectares).

Converting square meters to hectares

Home → Legal advice → Terminology → Units of 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. km. 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 m 2

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. 1 ar = 10 m x 10 m = 100 m 2 .
  2. 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 m 2

The most commonly used land measure in practice is the hectare, an abbreviation for ha:

1 ha = 100 are = 10,000 m 2

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 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. 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 plot of land with an area 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 household plots, gardening, vegetable farming, 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, a new the federal law"On amendments to Land Code RF and individual legislative acts RF" (N 171-FZ "dated June 23, 2014, in accordance with which, in particular, the procedure for purchasing land plots from municipalities has been simplified&You can familiarize yourself with the main provisions of the law 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.

How many square meters in a hectare?

How many acres in 1 hectare

Excavation

21.10.2013 35695

Despite the fact that we often meet in various sources concepts of “one hundred square meters”, “hectare”, “square meter”, many people have difficulties when it is necessary to convert one of the measures of area into another. In fact, there is nothing complicated in this process.

Units of land area measurement

All three concepts denote a measure of area.

It is very easy to remember how many acres are in 1 hectare and how many square meters. The name itself already contains a hint.

Just remember the ratios:

1 hectare = 100 acres,

1 weave = 100 square meters (m2),

1 hectare = 10,000 square meters.

As you can see, everything is very simple, just know this simple formula and be able to apply it.

For example, there is a plot of 20 hectares. In order to find out how many acres there are in it, we multiply 20 ( total hectares) per 100. We obtain the following equation:

That is, twenty hectares contain 20 acres.

In exactly the same way, weave can be converted to hectares. Let's say we know that this area has 300 acres, but we need to measure it in hectares. Again we remember how many acres are in 1 hectare, and we get:

That is, our plot of three hundred acres contains only three hectares.

You should proceed in a similar way if you need to convert square meters to hundreds or hectares and vice versa.

Let's take our plot of 20 hectares. We know that one hectare contains 10 thousand square meters. Therefore, the conversion to square meters will look like this:

20x10000=200000, that is, in 20 thousand hectares - two hundred thousand square meters.

Now let's calculate how many square meters are in 10 acres. As we remember, 1 hundred square meters is one hundred square meters, therefore, we get the following calculation:

10x100=1000 sq.m.

Despite the fact that all of the listed quantities are measures of area, they are used in different cases.

The area of ​​housing is most often measured in square meters, as well as small plots, the size of which is less than 10 meters in length and 10 in width.

This way you can measure small areas for construction or country plots. The size of the land area, which is usually measured in acres, does not exceed 100 meters in length and a hundred in width. Larger plots (one dimension more than 100 meters) are already measured in hectares. And if one of the measurements of a site is more than a thousand meters, then it can be measured in square kilometers. So it’s not so difficult to calculate all this yourself, knowing a simple formula.

Quick answer: there are 10,000 square meters in one hectare.

A hectare (ha) is a metric unit of area (it is common name international decimal system of units, which is based on the use of the kilogram and the meter), equal to the area of ​​a square with a side of 100 meters. Total we have: 1 hectare = 10,000 m2 = 100 are = 100 acres.

How much in a hectare

In our country, a hectare is considered the basic unit of measurement of land area, in particular agricultural land. We also often use another unit of area - weaving, which is equivalent to one hundredth of a hectare. It is interesting that until 1917, another value was used in our country, called tithe: it is believed that it arose before the 15th century and was equal to 2400 square fathoms. It was a rectangle with sides 60 by 40 fathoms or 80 by 30. As for the hectare, this unit began to be used immediately after the October Revolution and the ratio 1 hectare = 11/12 tithes was used for conversion. The abbreviation "ha" began to be used around the 30s.

By the way, why might we need this unit? Let's say you wanted to buy yourself a plot for building a summer house or capital house. Advertisements usually indicate hundreds, but often hectares. It is clear that 1 hectare is a huge amount of land on which you can safely build several dozen, or even hundreds of houses. True, the cost of 1 hectare of land is probably an absolutely exorbitant amount. In addition, hectares are usually sold not for development, but for planting agricultural crops.

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1 square meter [m²] = 0.0001 hectare [ha]

Initial value

Converted value

square meter square kilometer square hectometer square decameter square decimeter square centimeter square millimeter square micrometer square nanometer hectare ar barn square mile sq. mile (US, surveyor) square yard square foot² sq. foot (USA, surveyor) square inch circular inch township section acre acre (USA, surveyor) ore square chain square rod rod² (USA, surveyor) square perch square rod sq. thousandth circular mil homestead sabin arpan cuerda square castilian cubit varas conuqueras cuad cross section of electron tithe (government) tithe economic round square verst square arshin square foot square fathom square inch (Russian) square line Planck area

More about the area

General information

Area is a quantity geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, such as computing cross section cells, atoms, or tubes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Population density calculations also use area. Population density is defined as the number of people per unit area.

Units

Square meters

Area is measured in SI units in square meters. One square meter is the area of ​​a square with a side of one meter.

Unit square

A unit square is a square with sides of one unit. The area of ​​a unit square is also equal to one. In a rectangular coordinate system, this square is located at coordinates (0,0), (0,1), (1,0) and (1,1). On the complex plane the coordinates are 0, 1, i And i+1, where i- imaginary number.

Ar

Ar or weaving, as a measure of area, is used in the CIS countries, Indonesia and some other European countries, to measure small urban objects such as parks when a hectare is too large. One are is equal to 100 square meters. In some countries this unit is called differently.

Hectare

Real estate, especially land, is measured in hectares. One hectare is equal to 10,000 square meters. It has been used since French Revolution, and is used in European Union and some other regions. Just like the macaw, in some countries the hectare is called differently.

Acre

IN North America and Burma, area is measured in acres. The hectares are not used there. One acre is equal to 4046.86 square meters. An acre was originally defined as the area that a farmer with a team of two oxen could plow in one day.

Barn

Barns are used in nuclear physics to measure the cross section of atoms. One barn is equal to 10⁻²⁸ square meters. The barn is not a unit in the SI system, but is accepted for use in this system. One barn is approximately equal to the cross-sectional area of ​​a uranium nucleus, which physicists jokingly called “as huge as a barn.” Barn in English is “barn” (pronounced barn) and from a joke among physicists this word became the name of a unit of area. This unit originated during World War II, and was liked by scientists because its name could be used as a code in correspondence and telephone conversations as part of the Manhattan Project.

Area calculation

The area of ​​the simplest geometric figures is found by comparing them with a square famous square. This is convenient because the area of ​​the square is easy to calculate. Some formulas for calculating the area of ​​geometric figures given below were obtained in this way. Also, to calculate the area, especially of a polygon, the figure is divided into triangles, the area of ​​each triangle is calculated using the formula, and then added. The area of ​​more complex figures is calculated using mathematical analysis.

Formulas for calculating area

  • Square: square side.
  • Rectangle: product of the parties.
  • Triangle (side and height known): the product of the side and the height (the distance from this side to the edge), divided in half. Formula: A = ½ah, Where A- square, a- side, and h- height.
  • Triangle (two sides and the angle between them are known): the product of the sides and the sine of the angle between them, divided in half. Formula: A = ½ab sin(α), where A- square, a And b- sides, and α - the angle between them.
  • Equilateral triangle: side squared divided by 4 and multiplied by Square root out of three.
  • Parallelogram: the product of a side and the height measured from that side to the opposite side.
  • Trapezoid: sum of two parallel sides, multiplied by the height, and divided by two. The height is measured between these two sides.
  • Circle: the product of the square of the radius and π.
  • Ellipse: product of semi-axes and π.

Surface Area Calculation

You can find the surface area of ​​simple volumetric figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a development of the ball in this way. The surface area of ​​a sphere is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of ​​a circle is four times less area surface of a ball with the same radius.

Surface areas of some astronomical objects: Sun - 6,088 x 10¹² square kilometers; Earth - 5.1 x 10⁸; thus, the surface area of ​​the Earth is approximately 12 times smaller than the surface area of ​​the Sun. The Moon's surface area is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the Earth's surface area.

Planimeter

Area can also be calculated using special device- planimeter. There are several types of this device, for example polar and linear. Also, planimeters can be analog and digital. In addition to other functions, digital planimeters can be scaled, making it easier to measure features on a map. The planimeter measures the distance traveled around the perimeter of the object being measured, as well as the direction. The distance traveled by the planimeter parallel to its axis is not measured. These devices are used in medicine, biology, technology, and agriculture.

Theorem on properties of areas

According to the isoperimetric theorem, of all figures with the same perimeter, the most big square at the circle. If, on the contrary, we compare figures with the same area, then the circle has the smallest perimeter. The perimeter is the sum of the lengths of the sides of a geometric figure, or the line that marks the boundaries of this figure.

Geographical features with the largest area

Country: Russia, 17,098,242 square kilometers, including land and water. The second and third largest countries by area are Canada and China.

City: New York is a city with the most large area 8683 square kilometers. The second largest city by area is Tokyo, occupying 6993 square kilometers. The third is Chicago, with an area of ​​5,498 square kilometers.

City Square: The largest square, covering 1 square kilometer, is located in the capital of Indonesia, Jakarta. This is Medan Merdeka Square. The second largest area, at 0.57 square kilometers, is Praça doz Girascoes in the city of Palmas, Brazil. The third largest is Tiananmen Square in China, 0.44 square kilometers.

Lake: Geographers debate whether the Caspian Sea is a lake, but if so, then it is the most big lake in the world with an area of ​​371,000 square kilometers. The second largest lake by area is Lake Superior in North America. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest lake in Africa is Lake Victoria. It covers an area of ​​69,485 square kilometers.