Meters 2 in mm2. How to calculate square meters. Geographic features with the largest area

The correct answer is No, because a square meter and a running meter are units of measurement of different categories. Square meters measure the surface area, and running meters measure only the length of the product.

Below we will analyze the concepts of square and linear meter

Square meter (sq.m; m2) in the International System of Units (SI) is the area of ​​a square whose side is 1 meter. In square meters, the surface area of ​​​​walls, floors, real estate objects is measured, where the area, for example, an office or apartment, is equal to the floor area. Or if you need to calculate the number of ceramic tiles per wall or linoleum per floor, you need to multiply the length by the height and get the surface area in square meters. Although linoleum itself is sold in running meters, more on that below.

Designations in square meters (m2) are used in…

  • Measurement of buildings, houses, apartments, premises;
  • Measurement of facing and flooring materials;
  • Measurement of floor surfaces of roofs, floors;
  • Measurement of the area occupied by equipment, furniture

The concept of a linear meter

Converting square meters to linear meters and just to meters is IMPOSSIBLE!

Linear meter (roll material, product, fence, furniture) is the length independent of the width. Since the price of the material is included in the cost of 1 running meter of carpet, linoleum or lining. A linear meter of linoleum with a width of 3 meters will naturally be more expensive than linoleum with a width of 2.5 meters.

Sometimes, in the manufacture of kitchen furniture, linear meters are also used for ease of calculation. For example, the manufacturer calculated that a kitchen cabinet 3 meters long and 60 centimeters wide with the required number of shelves, drawers, and doors would cost $1,200 at the rate of the National Bank. And as you know, the kitchens in our apartments are different, mostly small, so the manufacturer sets the price for 1 linear meter at $400. The customer only fits 2.5 meters. The standard equipment is discussed, the placement of shelves, boxes, and the price of $ 1,000 is displayed.

400$ x 2.5m = 1000$

Designations in running meters are used to measure:

  • Flooring roll materials (roll of fabric, carpets, linoleum…);
  • Boards, lining, block house, plinths, sometimes pipes, fittings;
  • The cost is the price of furniture (kitchen) with standard equipment and fittings.

How to calculate linear meters to square meters and vice versa

Example 1

To convert square meters into linear meters, you need to know the length and width of the product (material) that is sold in linear meters.

We need to lay 12 m2 of linoleum in the kitchen, and in the store they are sold by linear meters, but with a width of 2.5 m, 3 m or 4 m. It would be better to buy 4 linear meters of linoleum 3 meters wide or 3 linear meters 4 meters wide:

4m (length) x 3m (roll width) = 12 square meters
3m (length) x 4m (roll width) = 12 square meters

In this particular case, 12 square meters is equal to 3 or 4 linear meters, but this cannot be considered, because the width must always be taken into account.


Example 2

Let's take the same example with kitchen furniture of 2.5 linear meters. We need to find out the floor area covered by our furniture in the kitchen. To do this, we multiply the length of 2.5 m by the width of the kitchen wall 0.6 meters, and we get 1.5 square meters - this is the area occupied by our furniture in the kitchen.

Example 3

To finish the bath, we need to buy 65 m2 of lining. It is sold in 3 meters long at a price per linear meter. It is necessary to calculate how many running meters you need for 65 m2.
Our board (lining) has dimensions of 300 x 10 x 0.5 cm or 3m x 0.1m x 0.005m. We multiply the length by the width in meters and get the area of ​​\u200b\u200bone board (0.3 m2):
3m x 0.1m = 0.3 m2
Now we will find out how many boards are needed for 65 m2. To do this, we divide 65 m2 by the area of ​​​​1 board:
65: 0.3 \u003d 216.67 or 217 boards (linings)
We have a 3-meter lining (board), which means we need to buy 651 running meters.
217 x 3 = 651 m/p

The galvanized weight scheme is 1 m2. Theoretical, reference, standard, conditional, specific, calculated, tabular weight of a galvanized metal sheet mm is 1 m2 of rolled products in kg.

mm² is a square millimeter. Quantity converter.

He often asked how many kilograms (kg) 1 m2 of galvanized sheet metal weighed. What is the mass of galvanized sheet metal? Sheet metal sheet stainless steel sheet metal sheet - 1 mass. Table 1 shows data on the mass of galvanized sheet steel 0.4, 0.45, 0.5, 0.55, 0.6, 0.7, 0.75, 0.8, 0.9, 1.0, 1.2, 1.5, 2.0, 2.5 mm.

Table 1 discusses the possibilities for the mass of galvanized sheet metal according to GOST 52246-2004, GOST 14918-80, GOST 19904-90, GOST 19903-74, GOST 14918-80, GOST 14918.

Rolled metal weight: as far as galvanized sheet weighing 0.4 mm 1 m2. weight 1 m2 - galvanized steel 0.4 mm - steel GOST 08pcs / kp. 3:34 2 m2 3.75 m2 — — Rolled metal weight: as far as galvanized sheet weighing 0.45 mm 1 m2. weight 1 m2 - steel sheet, galvanized 0.45 mm - steel GOST 08pcs / kp. 3,73 2 m2 3.75 m2 — — Mass of rolled steel: the size of a galvanized sheet is 0.5 mm 1 m2. weight 1 m2 - galvanized steel 0.5 mm - steel GOST 08ps / kp. 4:13 2 m2 3.75 m2 — — Weight of rolled steel: the amount of galvanized sheet weighs 0.55 mm 1 m2. weight 1 m2 - galvanized steel sheet 0.55 mm - steel GOST 08pcs / kp. 4:52 2 m2 3.75 m2 — — Rolled metal weight: as far as galvanized sheet weighing 0.6 mm 1 m2. weight 1 m2 - galvanized steel sheet 0.6 mm - steel GOST 08ps / kp. 4,91 2 m2 3.75 m2 — — Mass of rolled steel: the size of a galvanized sheet is 0.7 mm 1 m2. weight 1 m2 - sheet of galvanized steel 0.7 mm - steel GOST 08pcs / kp. 5,70 2 m2 3.75 m2 — — Rolled steel weight: the amount of galvanized sheet metal is 0.75 mm 1 m2. weight 1 m2 - galvanized sheet steel 0.75 mm - steel GOST 08pcs / kp. 6:09 2 m2 3.75 m2 — — Mass of rolled steel: the amount of galvanized sheet metal weighs 0.8 mm 1 m2. weight 1 m2 - steel sheet, galvanized 0.8 mm - steel GOST 08ps / kp. 6:48 2 m2 3.75 m2 — — Rolled steel weight: the amount of galvanized sheet metal is 0.9 mm 1 m2. weight 1 m2 - galvanized sheet metal 0.9 mm - steel GOST 08pcs / kp. 7:27 2 m2 3.75 m2 — — Rolled metal weight: as far as galvanized sheet weighing 1.0 mm 1 m2. weight 1 m2 - galvanized steel sheet 1.0 mm - steel GOST 08ps / kp. 8:05 2 m2 3.75 m2 — — Rolled steel weight: how much 1.2 mm galvanized sheet metal weighs 1 m2. weight 1 m2 - sheet of galvanized steel 1.2 mm - steel GOST 08ps / kp. 9,62 2 m2 3.75 m2 — — Rolled metal weight: as far as galvanized sheet weighing 1.5 mm 1 m2. weight 1 m2 - galvanized steel sheet 1.5 mm - steel GOST 08pcs / kp. 11,97 2 m2 3.75 m2 — — Rolled steel weight: the amount of galvanized sheet metal is 2.0 mm 1 m2. weight 1 m2 - galvanized steel sheet 2.0 mm - steel GOST 08ps / kp. 15,9 2 m2 3.75 m2 — — Mass of rolled steel: the size of a galvanized sheet is 2.5 mm 1 m2. weight 1 m2 - galvanized steel sheet 2.5 mm - steel GOST 08ps / kp. 19,82 2 m2 3.75 m2 — —

Notes to table 1.

Length and Distance Converter Mass Converter Bulk Food and Food Volume Converter Area Converter Volume and Recipe Units Converter Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Linear Velocity Converter Flat Angle Converter thermal efficiency and fuel efficiency Converter of numbers in different number systems Converter of units of measurement of quantity of information Currency rates Dimensions of women's clothing and shoes Dimensions of men's clothing and shoes Angular velocity and rotational frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific calorific value converter (by mass) Energy density and specific calorific value converter (by volume) Temperature difference converter Coefficient converter Thermal Expansion Coefficient Thermal Resistance Converter Thermal Conductivity Converter Specific Heat Capacity Converter Energy Exposure and Radiant Power Converter Heat Flux Density Converter Heat Transfer Coefficient Converter Volume Flow Converter Mass Flow Converter Molar Flow Converter Mass Flux Density Converter Molar Concentration Converter Mass Concentration in Solution Converter Dynamic ( Kinematic Viscosity Converter Surface Tension Converter Vapor Permeability Converter Water Vapor Flux Density Converter Sound Level Converter Microphone Sensitivity Converter Sound Pressure Level (SPL) Converter Sound Pressure Level Converter with Selectable Reference Pressure Brightness Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and wavelength converter Power in diopters and focal length Distance Power in Diopters and Lens Magnification (×) Electric Charge Converter Linear Charge Density Converter Surface Charge Density Converter Volumetric 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 Converter Electrical Resistance Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance Converter US 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 Periodic Table of Chemical Elements by D. I. Mendeleev

1 square meter [m²] = 1000000 square millimeter [mm²]

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 foot² sq. ft (US, survey) square inch circular inch township section acre acre (US, survey) ore square chain square rod² (US, survey) square perch square rod sq. thousandth circular mil homestead sabine arpan cuerda square castilian cubit varas conuqueras cuad electron cross-section tithe (official) household tithe round square verst square arshin square foot square sazhen square inch (Russian) square line Planck area

Electric field strength

More about the square

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 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. Area is also used in population density calculations. 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 unity. In a rectangular coordinate system, this square is 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

Ar or sotka, 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 is measured in hectares, especially land plots. 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. As well as ar, in some countries the 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. Initially, an acre was 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 equals 10⁻²⁸ square meters. 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 ​​the uranium nucleus, which physicists jokingly called "huge as a barn." Barn in English "barn" (pronounced barn) and from a joke of physicists, this word became the name of a unit of area. This unit originated during World War II, and scientists liked it 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 ​​a square is easy to calculate. Some formulas for calculating the area of ​​​​geometric shapes below are obtained in this way. Also, to calculate the area, especially a polygon, the figure is divided into triangles, the area of ​​\u200b\u200beach triangle is calculated using the formula, and then added. The area of ​​more complex figures is calculated using mathematical analysis.

Area formulas

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

Surface area calculation

You can find the surface area of ​​simple three-dimensional figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a ball scan 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 about 12 times smaller than the surface area of ​​the Sun. The surface area of ​​the Moon is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the surface area of ​​the Earth.

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 features, digital planimeters can be scaled to make it easier to measure features 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.

Area properties theorem

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 a line that marks the boundaries of this figure.

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 8,683 square kilometers. The second largest city is Tokyo, covering 6,993 square kilometers. The third is Chicago, with an area of ​​5498 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 at 0.57 square kilometers is Praça dos Giraçois in the city of Palmas, in 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 it is, 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. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest is Lake Victoria in Africa. It covers an area of ​​69,485 square kilometers.

Choose a tape measure or measuring tape. Choose a tape measure or measuring tape that has markings in centimeters (cm) or meters (m). This fixture will make it easier to calculate the area in square meters, since they were designed in the same measurement system.

  • If you can find a tape measure in feet or inches, measure the area using the available units of measurement, and then proceed to the step that describes how to convert other units of measurement to square meters.

Measure the length of the area you have chosen. A square meter is a unit of measurement for the area or size of a two-dimensional object such as a floor or field. Measure the length of one side from one corner to the other and record the result.

  • If the length is more than one meter, then count both meters and centimeters. For example, 2 meters 35 centimeters.
  • If the object you are measuring is not a rectangle or square, then read the third section of this article - "Measuring the area of ​​​​complex shapes."
  • If you cannot measure the length at a time, do it in stages. Unfold the tape measure and make a mark where it ended (for example, 1 meter or 25 centimeters), then unfold it again and start from the marked area. Repeat until you have measured the entire length. Then add all the measurements together.

  • Measure the width. Use the same tape measure to measure the width of an object. The measurement must be started by placing the tape measure at an angle of 90º with respect to the length of the object that you have already measured. That is, two lines of a square adjacent to each other. The resulting numbers also write down on paper.

    • If the measured length is slightly less than one meter, then round to the nearest centimeter when you take measurements. For example, if the width is slightly larger than 1 meter 8 centimeters, then simply write "1 m. 8 cm." don't count millimeters.
  • Convert centimeters to meters. Usually, measurements cannot be made exactly in meters. You will get indicators in both meters and centimeters, for example, "2 meters 35 centimeters." 1 centimeter = 0.01 meters, so you can convert centimeters to meters by moving the decimal point 2 digits to the left. Here are some examples.

    • 35cm=0.35m so 2m 35cm=2m+0.35m= 2.35m
    • 8cm = 0.08m, so 1m 8cm = 1.08m
  • Multiply the length by the width. Once you convert all measurements to meters, multiply the length by the width and get the area of ​​\u200b\u200bthe object being measured. Use a calculator if necessary. For example:

    • 2.35m x 1.08m = 2.538 square meters (m2).
  • Round up. If you get a lot of decimal places, for example, 2.538 square meters, then round up, for example, to 2.54 square meters. It is likely that you did not take measurements to the nearest millimeter, so the last figures will still not be accurate. In most cases, we round to the nearest centimeter (0.01m). If you need more accurate measurements, read this material.

    • Every time you multiply two numbers with the same unit of measure (eg meters), the answer must be written in the same unit of measure (m 2 , or square meters).
  • Length and Distance Converter Mass Converter Bulk Food and Food Volume Converter Area Converter Volume and Recipe Units Converter Temperature Converter Pressure, Stress, Young's Modulus Converter Energy and Work Converter Power Converter Force Converter Time Converter Linear Velocity Converter Flat Angle Converter thermal efficiency and fuel efficiency Converter of numbers in different number systems Converter of units of measurement of quantity of information Currency rates Dimensions of women's clothing and shoes Dimensions of men's clothing and shoes Angular velocity and rotational frequency converter Acceleration converter Angular acceleration converter Density converter Specific volume converter Moment of inertia converter Moment of force converter Torque converter Specific calorific value converter (by mass) Energy density and specific calorific value converter (by volume) Temperature difference converter Coefficient converter Thermal Expansion Coefficient Thermal Resistance Converter Thermal Conductivity Converter Specific Heat Capacity Converter Energy Exposure and Radiant Power Converter Heat Flux Density Converter Heat Transfer Coefficient Converter Volume Flow Converter Mass Flow Converter Molar Flow Converter Mass Flux Density Converter Molar Concentration Converter Mass Concentration in Solution Converter Dynamic ( Kinematic Viscosity Converter Surface Tension Converter Vapor Permeability Converter Water Vapor Flux Density Converter Sound Level Converter Microphone Sensitivity Converter Sound Pressure Level (SPL) Converter Sound Pressure Level Converter with Selectable Reference Pressure Brightness Converter Luminous Intensity Converter Illuminance Converter Computer Graphics Resolution Converter Frequency and wavelength converter Power in diopters and focal length Distance Power in Diopters and Lens Magnification (×) Electric Charge Converter Linear Charge Density Converter Surface Charge Density Converter Volumetric 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 Converter Electrical Resistance Electrical Conductivity Converter Electrical Conductivity Converter Capacitance Inductance Converter US 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 Periodic Table of Chemical Elements by D. I. Mendeleev

    1 square meter [m²] = 1000000 square millimeter [mm²]

    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 foot² sq. ft (US, survey) square inch circular inch township section acre acre (US, survey) ore square chain square rod² (US, survey) square perch square rod sq. thousandth circular mil homestead sabine arpan cuerda square castilian cubit varas conuqueras cuad electron cross-section tithe (official) household tithe round square verst square arshin square foot square sazhen square inch (Russian) square line Planck area

    Sound pressure level

    More about the square

    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 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. Area is also used in population density calculations. 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 unity. In a rectangular coordinate system, this square is 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

    Ar or sotka, 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 is measured in hectares, especially land plots. 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. As well as ar, in some countries the 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. Initially, an acre was 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 equals 10⁻²⁸ square meters. 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 ​​the uranium nucleus, which physicists jokingly called "huge as a barn." Barn in English "barn" (pronounced barn) and from a joke of physicists, this word became the name of a unit of area. This unit originated during World War II, and scientists liked it 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 ​​a square is easy to calculate. Some formulas for calculating the area of ​​​​geometric shapes below are obtained in this way. Also, to calculate the area, especially a polygon, the figure is divided into triangles, the area of ​​\u200b\u200beach triangle is calculated using the formula, and then added. The area of ​​more complex figures is calculated using mathematical analysis.

    Area formulas

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

    Surface area calculation

    You can find the surface area of ​​simple three-dimensional figures, such as prisms, by unfolding this figure on a plane. It is impossible to obtain a ball scan 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 about 12 times smaller than the surface area of ​​the Sun. The surface area of ​​the Moon is approximately 3.793 x 10⁷ square kilometers, which is about 13 times smaller than the surface area of ​​the Earth.

    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 features, digital planimeters can be scaled to make it easier to measure features 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.

    Area properties theorem

    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 a line that marks the boundaries of this figure.

    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 8,683 square kilometers. The second largest city is Tokyo, covering 6,993 square kilometers. The third is Chicago, with an area of ​​5498 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 at 0.57 square kilometers is Praça dos Giraçois in the city of Palmas, in 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 it is, 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. It is one of the lakes of the Great Lakes system; its area is 82,414 square kilometers. The third largest is Lake Victoria in Africa. It covers an area of ​​69,485 square kilometers.