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1 square meter [m²] \u003d 1,000,000 square millimeters [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. m. mile (US Survey) square yard square feet sq. ft (USA, geodesic) square inch circular inch township section acre acre (USA, geodesic) ores square chain square genus rod² (USA, geodesic) square perch square genus sq. thousandth circular mil homestead sabin arpan cuerda square Castilian elbow varas conuqueras cuad electron cross section tithe (breech) tithe economic round square verst square arshin square foot square fathom square inch (Russian) square line Planck square

Sound pressure level

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 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 to calculate 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 \u200b\u200ba square with a side of one meter.

Unit square

A unit square is a square with sides of one unit. The area of \u200b\u200ba 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 ar is equal to 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 the French Revolution, and is used in the European Union and some other regions. 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 is accepted for use in this system. One barn is approximately equal to the cross-sectional area of \u200b\u200ba uranium nucleus, which physicists have jokingly called "huge as a barn." The 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 World War II, 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 \u200b\u200bthe simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of \u200b\u200ba square is easy to calculate. Some formulas for calculating the area of \u200b\u200bgeometric 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 \u200b\u200beach triangle is calculated using the formula, and then added. The area of \u200b\u200bmore 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), divided in half. Formula: A \u003d ½ahwhere A - area, 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 \u003d ½ab sin (α), where A - area, 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 these two sides.
• A 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 \u200b\u200bsimple 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 \u200b\u200ba ball is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of \u200b\u200ba circle is four times less than the surface area of \u200b\u200ba 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 \u200b\u200bthe Earth is about 12 times less than the surface area of \u200b\u200bthe 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.

The 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 of \u200b\u200b8683 square kilometers. The second largest city is Tokyo, which covers 6993 square kilometers. The third is Chicago, with an area of \u200b\u200b5,498 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 at 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 debate whether the Caspian Sea is a lake, but if so, it is the largest lake in the world with an area of \u200b\u200b371,000 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 is Lake Victoria in Africa. It covers an area of \u200b\u200b69,485 square kilometers.

The correct answer is None, because square meter and running meter are units of measurement of different categories. Square meters measure the surface area, and linear meters - only the length of the product.

Below we will analyze the concepts of square and running meter

Square meter (sq.m; m2) in the International System of Units (SI), this is the area of \u200b\u200ba square whose side is 1 meter. Square meters measure the surface area of \u200b\u200bwalls, floors, real estate objects, 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 on the wall or linoleum on the 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.

Square meters (m2) are used in ...

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

The concept of a running meter

Square meters can not be converted into running meters and simply into meters!

Running 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 running meter of linoleum 3 meters wide will naturally be more expensive than linoleum 2.5 meters wide.

Sometimes, in the manufacture of kitchen furniture, linear meters are also used for the convenience of calculations. For example, the manufacturer calculated that a kitchen cabinet with a length of 3 meters and a width of 60 centimeters with the required number of shelves, drawers, and doors would cost $ 1,200 at the rate of the National Bank. As you know, the kitchens in our apartments are different, mostly small, so the manufacturer sets the price for 1 running meter of $ 400. The customer only fits 2.5 meters. The standard equipment, placement of shelves, boxes are discussed and the price of $ 1000 is displayed.

400 $ x 2.5m \u003d 1000 $

Line meters are used to measure:

• Decking roll materials (roll of fabric, carpets, linoleum ...);
• Boards, lining, block house, baseboards, sometimes pipes, fittings;
• Cost 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 to 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 in running meters, but with a width of 2.5m, 3m or 4m. It would be better to buy 4 running meters of linoleum 3 meters wide or 3 running meters 4 meters wide:

4m (length) x 3m (roll width) \u003d 12 square meters
3m (length) x 4m (roll width) \u003d 12 square meters

In this particular case, 12 square meters is equal to 3 or 4 running meters, but it is impossible to count that way, because the width must always be taken into account.

Example 2

Let's take the same example with a 2.5 linear meter kitchen furniture. We need to find out the floor area that our kitchen furniture covers. 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 length at a price per running meter. It is necessary to calculate how many linear meters are needed 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 we get the area of \u200b\u200bone board (0.3 m2):
3m x 0.1m \u003d 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 \u200b\u200b1 board:
65: 0.3 \u003d 216.67 or 217 boards (lining)
The lining (board) we have is 3 meters long, which means we need to buy 651 running meters.
217 x 3 \u003d 651 m / p

Length and Distance Converter Mass Converter Bulk and Food Volume Converter Area Converter Volume and Cooking 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 Numeric Conversion System Converter of Information Quantity Measurement Currency Rates Women's Clothing and Shoes Sizes Men's Clothing and Shoes Sizes Angular Velocity and Speed \u200b\u200bConverter Acceleration Converter Angular Acceleration Converter Density Converter Specific Volume Converter Moment of Inertia Converter Moment of Force Converter Torque converter Specific calorific value (mass) converter Energy density and fuel calorific value (volume) converter Differential temperature converter Coefficient converter Thermal Expansion Curve Thermal Resistance Converter Thermal Conductivity Converter Specific Heat Capacity Converter Thermal Exposure and Radiation Power Converter Heat Flux Density Converter Heat Transfer Coefficient Converter Volumetric Flow Rate Converter Mass Flow Rate Converter Molar Flow Rate Converter Mass Flux Density Converter Molar Concentration Converter Mass Concentration in Solution Converter absolute) viscosity Kinematic viscosity converter Surface tension converter Vapor permeability converter Water vapor flux density converter Sound level converter Microphone sensitivity converter Sound pressure level converter (SPL) Sound pressure level converter with selectable reference pressure Luminance converter Luminous intensity converter Illumination converter Computer graphics resolution converter Frequency and Wavelength Converter Optical Power in Diopters and Focal distance Diopter power and lens magnification (×) Electric charge converter Linear charge density converter Surface charge density converter Bulk charge density converter Electric current linear current density converter Surface current density converter Electric field strength converter Electrostatic potential and voltage converter Electrostatic potential and voltage converter Electrical resistance converter Converter electrical resistivity Electrical conductivity converter Electrical conductivity converter Electrical capacitance Inductance converter American wire gauge converter Levels in dBm (dBm or dBmW), 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 Radiation Converter. Exposure Dose Converter Radiation. Absorbed Dose Converter Decimal Prefixes Converter Data Transfer Typography and Image Processing Unit Converter Timber Volume Unit Converter Calculating Molar Mass Periodic Table of Chemical Elements D. I. Mendeleev

1 square millimeter [mm²] \u003d 1E-06 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, geodesic) square inch circular inch township section acre acre (USA, geodesic) ores square chain square genus rod² (USA, geodesic) square perch square genus sq. thousandth circular mil homestead sabin arpan cuerda square Castilian elbow varas conuqueras cuad electron cross section tithe (breech) tithe economic 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 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 to calculate 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 \u200b\u200ba square with a side of one meter.

Unit square

A unit square is a square with sides of one unit. The area of \u200b\u200ba 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 ar is equal to 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 the French Revolution, and is used in the European Union and some other regions. 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 is accepted for use in this system. One barn is approximately equal to the cross-sectional area of \u200b\u200ba uranium nucleus, which physicists have jokingly called "huge as a barn." The 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 World War II, 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 \u200b\u200bthe simplest geometric figures is found by comparing them with the square of a known area. This is convenient because the area of \u200b\u200ba square is easy to calculate. Some formulas for calculating the area of \u200b\u200bgeometric 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 \u200b\u200beach triangle is calculated using the formula, and then added. The area of \u200b\u200bmore 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), divided in half. Formula: A \u003d ½ahwhere A - area, 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 \u003d ½ab sin (α), where A - area, 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 these two sides.
• A 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 \u200b\u200bsimple 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 \u200b\u200ba ball is found using the formula by multiplying the square of the radius by 4π. From this formula it follows that the area of \u200b\u200ba circle is four times less than the surface area of \u200b\u200ba 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 \u200b\u200bthe Earth is about 12 times less than the surface area of \u200b\u200bthe 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.

The 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 of \u200b\u200b8683 square kilometers. The second largest city is Tokyo, which covers 6993 square kilometers. The third is Chicago, with an area of \u200b\u200b5,498 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 at 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 debate whether the Caspian Sea is a lake, but if so, it is the largest lake in the world with an area of \u200b\u200b371,000 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 is Lake Victoria in Africa. It covers an area of \u200b\u200b69,485 square kilometers.