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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 Survey) square yard square feet sq. ft (USA, survey) square inch circular inch Township section acre acre (USA, survey) ores square chain square genus genus² (USA survey) square perch square genus sq. thousandth circular mil homestead sabin arpan cuerda square Castilian elbow varas conuqueras cuad electron cross section tithe (official) tithe household round square verst square arshin square foot square fathom square inch (Russian) square line Planck square

More about the area

General information

Area is a quantity geometric shape in two-dimensional space. It is used in mathematics, medicine, engineering, and other sciences, such as calculating the cross sections of cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Area is also used when calculating population density. 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 is an imaginary number.

Ar

Ap 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 equals 100 square meters. In some countries, this unit is called differently.

Hectare

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

Acre

V North America and Burma area is measured in acres. Hectares are not used there. One acre is equal to 4046.86 square meters. An acre was originally defined as the area that a peasant 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. Barn is not a unit in the SI system, but it is accepted for use in this system. One barn approximately equal to the area cross-section of the uranium nucleus, which physicists jokingly called "huge as a barn." A barn in English is "barn" (pronounced barn) and from a joke of physicists this word became the name of a unit of area. This unit originated during the Second World War, and scientists liked it because its name could be used as a code in correspondence and telephone conversations within the framework of the Manhattan Project.

Area calculation

The area of ​​the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of ​​a square is easy to calculate. Some formulas for calculating the area of ​​geometric shapes, given below, are obtained in this way. Also, to calculate the area, especially 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 shapes is calculated using mathematical analysis.

Area formulas

• Square: side squared.
• Rectangle: the product of the parties.
• Triangle (side and height known): the product of the side and the height (the distance from that side to the edge), halved. 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 are the sides, and α is the angle between them.
• Equilateral triangle: side squared divided by 4 and multiplied by Square root out of three.
• Parallelogram: product of the side and the height, measured from this side to the opposite.
• Trapezium: the sum of two parallel sides times the height and divided by two. Height is measured between the two sides.
• Circle: product of the square of the radius and π.
• Ellipse: product of semiaxes and π.

Calculating surface area

You can find the surface area of ​​simple volumetric figures, such as prisms, by unfolding the figure on a plane. It is impossible to obtain a sweep of the ball in this way. The surface area of ​​the ball 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 than the surface area of ​​a ball with the same radius.

Surface areas of some astronomical objects: Sun - 6.088 x 10¹² square kilometers; Land - 5.1 x 10⁸; thus, the surface area of ​​the Earth is about 12 times less than the surface area of ​​the Sun. The lunar surface area is approximately 3.793 x 10⁷ square kilometers, which is about 13 times less than the Earth's surface area.

Planimeter

The area can also be calculated using a special device - a planimeter. There are several types of this device, for example, polar and linear. Also, planimeters are analog and digital. In addition to other functions, a scale can be entered into digital planimeters, making it easier to measure objects on a map. The planimeter measures the distance traveled along the perimeter of the measured object, 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, engineering, and agriculture.

Theorem on the properties of areas

According to the isoperimetric theorem, of all figures with the same perimeter, the most big square by 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 shape, or a line that marks the boundaries of that shape.

Geographic features with the largest area

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

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

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

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

Consider the figure below:

The whole figure consists of 8 squares with a side of 1 cm each.

The area of ​​one such square is called a square centimeter and is written down: 1 cm 2.

The area of ​​the whole figure is 8 cm 2.

Remember!

Area is measured only in square units length. Always check your answers.

In mathematics to find squares of geometric shapes special formulas are used in which the area is denoted by the capital Latin letter "S".

We remind you that the area of ​​a square can be found by multiplying the length of its side by itself.

The unit of area is the area of ​​a unit square. For example, if the length of the side of a square is 1 m, then its area is 1 square meter (1 m 2); if the length of its side is 1 cm, then its area is 1 square centimeter (1 cm 2).

To find the area of ​​a figure, it is compared with a unit square.

How to convert square units

Consider a 1 cm square.

Its area is equal to:

Consider a square with a side of 1 m.

Its area is equal to:

It is known that: 1 m = 100 cm

Let's increase the side of the square equal to 1 m by 10 times. We get a square with
side 10 m.

ar or weaving.

In one are - one hundred square meters.

The word "weaving" is often used in the country house, although it is the same as "ar".

To express ap in cm 2, remember that 1 m 2 = 10,000 cm 2.

Means: 1 ar (weaving) = 100 m 2 = 100 10 000 cm 2 = 1 000 000 cm 2

Let's enlarge the side of the square equal to 10 m by 10 times. We get a square with
side 100 m.

The area of ​​such a square is called. Abbreviated as "ha". But when pronounced aloud, the name is pronounced completely.

Let us express hectare in square meters.

1 ha = 100 m 100 m = 10,000 m 2

Now let's determine how many ares in one hectare.

Means: 10,000 m 2: 100 m 2 = 100 (ar)

To measure large areas, for example, territories of states, continents, use square kilometer... That is, a square with a side of 1 km and
with an area of ​​1 km 2.

For simplicity of calculations, we offer you a table of conversions of square units to help you.

Square unit conversion table

This table will help Convert hectares to sq. meters, hectares to ares and vice versa.

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1 ar [a] = 100 square meter [m²]

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. m. mile (US Survey) square yard square feet sq. ft (USA, survey) square inch circular inch Township section acre acre (USA, survey) ores square chain square genus genus² (USA survey) square perch square genus sq. thousandth circular mil homestead sabin arpan cuerda square Castilian elbow varas conuqueras cuad electron cross section tithe (official) tithe household round square verst square arshin square foot square fathom square inch (Russian) square line Planck square

More about the area

General information

Area is the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering, and other sciences, such as calculating the cross sections of cells, atoms, or pipes such as blood vessels or water pipes. In geography, area is used to compare the sizes of cities, lakes, countries, and other geographic features. Area is also used when calculating population density. 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 is an imaginary number.

Ar

Ap 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 equals 100 square meters. In some countries, this unit is called differently.

Hectare

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

Acre

In North America and Burma, area is measured in acres. Hectares are not used there. One acre is equal to 4046.86 square meters. An acre was originally defined as the area that a peasant 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. Barn is not a unit in the SI system, but it is accepted for use in this system. One barn is approximately equal to the cross-sectional area of ​​a uranium nucleus, which physicists have jokingly called "huge as a barn." A barn in English is "barn" (pronounced barn) and from a joke of physicists this word became the name of a unit of area. This unit originated during the Second World War, and scientists liked it because its name could be used as a code in correspondence and telephone conversations within the framework of the Manhattan Project.

Area calculation

The area of ​​the simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of ​​a square is easy to calculate. Some formulas for calculating the area of ​​geometric shapes, given below, are obtained in this way. Also, to calculate the area, especially 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 shapes is calculated using mathematical analysis.

Area formulas

• Square: side squared.
• Rectangle: the product of the parties.
• Triangle (side and height known): the product of the side and the height (the distance from that side to the edge), halved. 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 are the sides, and α is the angle between them.
• Equilateral triangle: side squared divided by 4 and times the square root of three.
• Parallelogram: product of the side and the height, measured from this side to the opposite.
• Trapezium: the sum of two parallel sides times the height and divided by two. Height is measured between the two sides.
• Circle: product of the square of the radius and π.
• Ellipse: product of semiaxes and π.

Calculating surface area

You can find the surface area of ​​simple volumetric figures, such as prisms, by unfolding the figure on a plane. It is impossible to obtain a sweep of the ball in this way. The surface area of ​​the ball 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 than the surface area of ​​a ball with the same radius.

Surface areas of some astronomical objects: Sun - 6.088 x 10¹² square kilometers; Land - 5.1 x 10⁸; thus, the surface area of ​​the Earth is about 12 times less than the surface area of ​​the Sun. The lunar surface area is approximately 3.793 x 10⁷ square kilometers, which is about 13 times less than the Earth's surface area.

Planimeter

The area can also be calculated using a special device - a planimeter. There are several types of this device, for example, polar and linear. Also, planimeters are analog and digital. In addition to other functions, a scale can be entered into digital planimeters, making it easier to measure objects on a map. The planimeter measures the distance traveled along the perimeter of the measured object, 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, engineering, and agriculture.

Theorem on the properties of areas

According to the isoperimetric theorem, of all figures with the same perimeter, the circle has the largest area. 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 shape, or a line that marks the boundaries of that shape.

Geographic features with the largest area

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

City: New York is the city with the largest area at 8683 square kilometers. The second largest city is Tokyo, which covers 6993 square kilometers. The third is Chicago, with an area of ​​5,498 square kilometers.

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

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

Once upon a time, different measurement measures were used to measure areas in different countries, which constituted certain inconveniences. At one time, the French National Assembly proposed and approved a new measurement system. This officially happened in 1975. In accordance with this system, length began to be measured in meters, weight began to be measured in kilograms, and land area - in macaws, from French word are, which means area. And with the new measurement system, new questions began to arise, such as: 1 are how many square meters?

If such units as square meters are understandable and familiar to the vast majority of people, then ap, as a unit of measurement, is rarely found in everyday life. It is more customary for us to measure land in acres or hectares.

For those who don't know how many square meters are there, it is necessary to determine what an ar is.

1 are is a square with a side of 10 meters. Accordingly, the area of ​​one macaw is equal to:

1 ar = 10 x 10, that is, 100 square meters.

Now, let's remember the definition of a weave. After all, one hundred square meters is also a square, with a side of 10 meters and an area of ​​100 square meters. It turns out that the same area will be equal to the same values, calculated in hundreds and in macaws. Now to the question, how many square meters in 1 are, you can answer that it is the same as in one hundred square meters. Well, as for the specific figures, there are 100 square meters in one area.

But sometimes they can ask a question differently: “ How many ares per square meter? " To answer this question, immediately imagine a square with a side of 1 meter. You will get a square with an area of ​​1 square meter. And how many ares does it hold? In such a square meter there will be 0.01 macaws.

Expert commentary

Igor Voropaev - leading lawyer of Prosper-Consulting
PropertyExperts Portal Consultant

For many people, whose main activity is not related to calculations, over the years it becomes more and more difficult to determine how to carry out a metric conversion (for example, convert kilometers to centimeters). This is a well-known outcome - the human brain begins to call this information non-systemic and designate it as superfluous.

This is a very subtle art, subject only to our brain, and its purpose is to erase some of the information and make room for new ones. And when it comes to calculating land plots, sometimes you completely stop understanding what is happening and getting the meaning becomes even more difficult. But in our century there are many convenient calculators that are familiar with all the names (hecto, deco, lata: decimeter, millimeter) and can easily calculate any values ​​between units, measuring which has become easier than playing a console.

However, if such a device is not on hand, the forum and the page with the spreadsheet can be of great help, as they did many years ago. Thus, it will be very simple to express 1r in relation to any other unit.