In addition, the regulation on the mandatory use of units SI set out in the interstate standard GOST 8.417-2002, currently in force in Russia, which lists the units physical quantities, approved for use, their international and Russian designations are given and the rules for their use are established.

International System of Units SI - the most used system of units in the world as in Everyday life, and in science and technology. Currently SI accepted as the main system of units by most countries in the world and is almost always used in the field of technology, even in those countries where traditional units are used in everyday life.

SI defines 7 basic units of physical quantities and derived units (abbreviated as units SI or units), as well as a set of attachments.

SI also establishes standard abbreviations for units and rules for writing derived units.

Basic SI units

• kilogram (kg, kg) - unit of mass
• meter (m, m) - unit of length
• second (s, s) - unit of time
• ampere (A, A) - unit of power electric current
• mole (mol, mol) - unit of amount of substance
• candela (cd, cd) - unit of luminous intensity
• Kelvin (K, K) is 1/273.16 part of the thermodynamic temperature of the triple point of water:
  1. degree Celsius (°C) - a widely used unit of measurement of temperature, used in SI along with kelvin

Conversion to degrees Celsius:

Within SI The basic units are considered to have independent dimensions, that is, none of them can be derived from the others.

Derived units are obtained from basic units using algebraic operations such as multiplication and division. Some of the derived units in SI assigned their own names, for example, the unit radian.

SI prefixes must be used before the names of units. They mean that one must be multiplied or divided by a certain integer, which is a power of 10, a number of times.

Decimal prefixes are used to reduce the number of zeros in the numerical values ​​of physical quantities.

For example:

• the prefix "kilo" means multiplication of the original unit meter per 1000 (kilometer = 1000 meters)
• the submultiple prefix “milli” means multiplication of the original unit meter by 10 -3 (millimeter = 0.001 meters)
• the submultiple prefix “deci” means multiplication of the original unit meter by 10 -1 (decimeter = 0.1 meters)

Area units

Regarding units of area that are derived from the basic unit of length meter, the list of names looks like this:

• length
  1. unit of measurement - meter
  2. designation (Russian) - m
  3. designation (international) - m
• square
  1. unit of measurement - square meter
  2. designation (Russian) - m 2
  3. designation (international) - m 2

Explanation

Meter - the length of the path traveled by light in a vacuum during a time interval
1/299792458 seconds (XVII General Conference on Weights and Measures (GCPM), 1983, Resolution 1).

The XXV CGPM, held in 2014, decided to continue work on preparing a new revision of the SI, including a redefinition of the meter, and tentatively planned to complete this work by 2018 in order to replace the existing SI with an updated version at the XXVI CGPM in the same year.

A widespread system in Russia for measuring land areas (non-systemic in relation to SI)

• 1 weave = 10 m x 10 m = 10 m x 10 m = 100 m 2
• 1 hectare = 1 ha = 100 m x 100 m = 10000 m 2 = 100 acres
• 1 square kilometer = 1 km 2 = 1000 m x 1000 m = 1 million km 2 = 100 hectares = 10,000 acres

Reciprocal units

• 1 m2 = 0.01 hundred square meters = 0.0001 ha = 0.000001 km2
• 1 hundred square meters = 0.01 hectares = 0.0001 km 2

Conversion table for area units

Area units	1 sq. km.	1 Hectare	1 Acre	1 Sotka	1 sq.m.
1 km 2	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 m2	0.000001	0.0001	0.00025	0.01	1

• Hectare

a unit of area in the metric system used to measure land plots.

Abbreviation:

• Russian - ha
• international - ha

1 hectare is equal to the area of ​​a square with a side of 100 m

The name “hectare” is formed by adding the prefix “hecto...” to the name of the unit of area “ ar»:

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

• Ar - unit of area in the metric system of measures, equal to the area of ​​a square with a side of 10 m:
  
  1. 1 ar = 10 m x 10 m = 100 m 2
  2. 1 tithe = 1.09254 hectares

• 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 m 2

The most commonly used land measure in practice is the hectare - the abbreviated designation 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 km 2
• 1 tithe = 2400 sq. fathoms = 10,925.4 m 2 = 1.0925 ha
• 1 tithe = 1/2 tithe = 1200 sq. fathoms = 5462.7 m² = 0.54627 ha
• 1 octopus = 1/8 tithe = 300 sq. fathoms = 1365.675 m 2 ≈ 0.137 ha

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, remember a very old joke. “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 familiarize yourself with this

• What can be built on plots for peasant (farm) farming (peasant farming) - read
• With scales used in Russia topographic maps Can .
• You can find out about the new VRI Classifier - 2019
• From January 1, 2018, the exact boundaries of the plot must be recorded in the cadastral passport, since buying, selling, mortgaging or donating land without accurate description borders will simply be impossible. This is regulated by amendments to the Land Code. A total revision of borders at the initiative of municipalities began on June 1, 2015.
• On March 1, 2015, the new Federal Law “On Amendments to the Land Code of the Russian Federation and certain legislative acts 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.
• 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

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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. 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 the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, such as computing cross section 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. 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 the 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 within the Manhattan Project.

Area calculation

Protozoa area geometric shapes 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 than the surface area 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

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 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, engineering, and agriculture.

Theorem on 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 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.

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 a 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 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 of the area of ​​a land plot, equal to the area of ​​a 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 a land measure used in a number of countries that use the English system of measures (Great Britain, USA, Canada, Australia, etc.).

1 acre = 4840 sq. yards = 4046.86 m2

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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Length and distance converter Mass converter Converter of volume measures of bulk products and food products Area converter Converter of volume and units of measurement in culinary recipes Temperature converter Converter of pressure, mechanical stress, Young's modulus Converter of energy and work Converter of power Converter of force Converter of time Linear speed converter Flat angle Converter thermal efficiency and fuel efficiency Converter of numbers in various number systems Converter of units of measurement of quantity of information Currency rates Women's clothing and shoe sizes Men's clothing and shoe sizes Angular velocity and rotation frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific heat of combustion converter (by mass) Energy density and specific heat of combustion converter (by volume) Temperature difference converter Coefficient of thermal expansion converter Thermal resistance converter Thermal conductivity converter Specific heat capacity converter Energy exposure and thermal radiation power converter Heat flux density converter Heat transfer coefficient converter Volume flow rate converter Mass flow rate converter Molar flow rate converter Mass flow density converter Molar concentration converter Mass concentration in solution converter Dynamic (absolute) viscosity converter Kinematic viscosity converter Surface tension converter Vapor permeability converter Water vapor flow density converter Sound level converter Microphone sensitivity converter Converter Sound Pressure Level (SPL) Sound Pressure Level Converter with Selectable Reference Pressure Luminance Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and Wavelength Converter Diopter Power and Focal Length Diopter Power and Lens Magnification (×) Converter electric charge Linear charge density converter Surface charge density converter Volume charge density converter Electric current converter Linear current density converter Surface current density converter Electric field strength converter Electrostatic potential and voltage converter Electrical resistance converter Electrical resistivity converter Electrical conductivity converter Electrical conductivity converter Electrical capacitance Inductance Converter American Wire Gauge Converter Levels in dBm (dBm or dBm), dBV (dBV), watts, etc. units Magnetomotive force converter Magnetic field strength converter Magnetic flux converter Magnetic induction converter Radiation. Ionizing radiation absorbed dose rate converter Radioactivity. Radioactive decay converter Radiation. Exposure dose converter Radiation. Absorbed dose converter Decimal prefix converter Data transfer Typography and image processing unit converter Timber volume unit converter Calculation of molar mass D. I. Mendeleev’s periodic table of chemical elements

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 the size of a geometric figure in two-dimensional space. It is used in mathematics, medicine, engineering and other sciences, for example in calculating the cross-section 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. 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 in use since the French Revolution, and is used in the 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 within 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 ​​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 the square root of three.
• Parallelogram: the product of a side and the height measured from that side to the opposite side.
• Trapezoid: the 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 than the surface area 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

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 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 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 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 the city with the largest area of ​​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, it is the largest 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.

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: 1 cm 2.

The area of ​​the entire figure is 8 cm2.

Remember!

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

In mathematics to find square geometric shapes use special formulas in which the area is indicated by capital letters 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 side length of a square is 1 m, then its area is 1 square meter (1 m2); if the length of its side is 1 cm, then its area is 1 square centimeter (1 cm2).

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

How to convert square units

Consider a square with a side of 1 cm.

Its area is:

S = 1 cm 1 cm = 1 cm 2

Consider a square with a side of 1 m.

Its area is:

S = 1 m 1 m = 1 m 2

It is known that: 1 m = 100 cm

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

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

ar or weaving.

S = 10 m 10 m = 100 m 2

In one are - one hundred square meters.

The word “weaving” is often used in dacha farming, although it is the same as “ar”.

1 are (one hundred square meters) = 100 m 2

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

Means: 1 are (one hundred square meters) = 100 m2 = 100 · 10,000 cm2 = 1,000,000 cm2

Let us increase 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 out loud, the name is pronounced in full. Let's express.

hectare in square meters

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

Now let’s determine how many ares there are in one hectare.

Means: 1 ar = 100 m 2

10,000 m2: 100 m2 = 100 (ar)

1 ha = 100 are To measure large areas, for example, the territories of states and continents, they use square kilometer
.

That is, a square with a side of 1 km and

area 1 km 2.

1 km = 1000 m

1 km 2 = 1 km 1 km = 1,000 m 1,000 m = 1,000,000 m 2

To simplify calculations, we offer you a conversion table for square units to help you. Square unit conversion table This table will help

	ha	ar	m 2	Convert hectares to square meters. meters
1 km 2	100 ha	10,000 are	1,000,000 m2	, hectares to ares and vice versa.
1 ha	1 ha	100 are	10,000 m2	cm 2
1 are	1,000,000,000 cm2	1 are	100 m 2	100,000,000 cm2
1 m2	0.01 ha	1,000,000cm 2	1 m2	0.000 1 ha