Area units - Knowledge Hypermarket. Area Area unit equal to 100 m2

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

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

What is an acre of land? Weave of land is a unit of measurement of the size of the site, weaving is equal to one hundred square meters.

The following units are used to measure areas: 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 in one weave of 100 square meters. meters and it will be correct if we say in hectares that one weave is one hundredth of a hectare.

  • Weaving is a unit of measurement for the size of a plot, which is often used in a summer cottage or agriculture. In science, it is customary to use an analogue of weaving - ar. Ar (weaving) - the area of ​​​​a square with a side of 10 m.
  • Based on the name of this measure, one can already guess that we are talking about hundreds of meters.
  • Indeed, one weave is equal to 100 m 2.
  • In other words, one weave will be equal to the area of ​​​​a square with sides of 10 m.
  • Accordingly, in ten acres there will be 1000 m 2.
  • 100 acres contain 10,000 m 2, and 1000 acres contain 100,000 m 2.
  • 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 weave = 100 square meters = 0.01 hectare = 0.02471 acre

  • 1 cm 2 \u003d 100 mm 2 \u003d 0.01 dm 2
  • 1 dm 2 \u003d 100 cm 2 \u003d 10000 mm 2 \u003d 0.01 m 2
  • 1 m 2 \u003d 100 dm 2 \u003d 10000 cm 2
  • 1 ar (weave) \u003d 100 m 2
  • 1 ha (hectare) \u003d 10000 m 2

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

Area units conversion table

Area units 1 sq. km. 1 hectare 1 acre 1 weaving 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 weaving 0.0001 0.01 0.025 1 100
1 sq.m. 0.000001 0.0001 0.00025 0.01 1

The area measurement system adopted in Russia land plots

  • 1 weave = 10 meters x 10 meters = 100 sq.m
  • 1 hectare \u003d 1 ha \u003d 100 meters x 100 meters \u003d 10,000 square meters \u003d 100 acres
  • 1 square kilometer = 1 sq. km = 1000 meters x 1000 meters = 1 million sq. m = 100 hectares = 10,000 acres

Inverse units

  • 1 sq. m = 0.01 acres = 0.0001 ha = 0.000001 sq. km
  • 1 weave \u003d 0.01 ha \u003d 0.0001 sq. km
  • To calculate how many acres are in square meters, it is necessary to divide the given number of square meters by 100.
  • Thus, in 1 m 2 there are 0.01 weave, in 10 m 2 - 0.1 weave, and in 100 m 2 - 1 weave.

What is a hectare of land?

Hectare- area unit in metric system measures used to measure land. Field areas are measured in hectares (ha). A hectare is the area of ​​a square with a side of 100 m. So, 1 ha is equal to 100,100 square meters, that is, 1 ha = 10,000 m 2.

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 \u003d 100 ar \u003d 100 m x 100 m \u003d 10,000 m 2

  • A hectare is a unit for measuring the size of a plot, which is equal to the area of ​​​​a square with sides of 100 m. A hectare, like a weave, is mainly used as measuring units only in agriculture and summer cottages.
  • The designation of a hectare looks like "ha".
  • One hectare is equal to 10,000 m 2 or 100 acres.

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

  • In order to calculate how many square meters in a given number of hectares, you need to multiply the number of hectares by 10,000.
  • Thus, there are 10,000 m 2 in 1 ha, 100,000 m 2 in 10 ha, 1,000,000 m 2 in 100 ha, and 1,000,000 m 2 in 1000 ha.

Thus, one hectare corresponds to 10,000 m2. It can easily fit a football field (0.714 hectares) or more than 16 summer cottages (the area of ​​​​each is 6 acres). Well, Red Square will be twice as large as one hectare, its area is 24,750 m 2.

1 square kilometer is 100 times larger than 1 hectare. Similarly, we determine: 1 ha - how many acres are in the composition. One weave covers an area of ​​100 square meters. Therefore, in comparison with a hectare, weaving is 100 times less than a hectare.

  • 1 weaving\u003d 10 x 10 meters \u003d 100 m 2 \u003d 0.01 ha
  • 1 hectare (1 ha)\u003d 100 x 100 meters or 10,000 m 2 or 100 acres
  • 1 square kilometer (1 km2)\u003d 1000 x 1000 meters or 1 million m 2 or 100 hectares or 10,000 acres
  • 1 square meter (1 m 2)= 0.01 acres = 0.0001 ha

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

Units 1 km 2 1 ha 1 acre 1 weaving 1 m 2
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 weaving 0.0001 0.01 0.025 1 100
1 m 2 0.000001 0.000001 0.00025 0.01 1
  • To calculate how many acres corresponds to a given number of hectares, you need to multiply the number of hectares by 100.
  • So, in 1 hectare there are 100 acres, in 10 hectares - 1000 acres, in 100 hectares - 10,000 acres, and in 1000 hectares - 100,000 acres.

How many hectares in 1, 10, 100, 1000, 10,000 acres, 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 m2 1,000,000 cm2
1 m 2 0.0001 ha 0.01 are 1 m 2 10,000 cm2
  • To calculate how many hectares are contained in a given number of acres, you need to divide the number of acres by 100.
  • And in order to carry out such calculations with square meters, it is necessary to divide their number by 10,000.
  • So, in 1 acres there are 0.01 ha, in 10 acres - 0.1 ha, in 100 acres - 1 ha, in 1000 acres - 10 hectares, in 10,000 acres - 100 hectares.
  • In turn, in 1 m 2 there are 0.0001 ha, in 10 m 2 - 0.001 ha, in 100 m 2 - 0.01 ha, in 1000 m 2 - 0.1 ha, and in 10000 m 2 - 1 ha.

How many square kilometers are in 1 hectare?

1 ha \u003d 10,000 m 2

1 km 2 \u003d 100 ha

  • A square kilometer is a unit of measure for the area of ​​land. equal to the area 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, it is necessary to divide its given number by 100.
  • So, in 1 ha there are 0.01 km 2

What is 1 are equal to?

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

  • 1 ar \u003d 10 m x 10 m \u003d 100 m 2 .
  • 1 tithe = 1.09254 ha.
  • Arom is a unit of measure for the size of a plot, equal to the area of ​​a square with sides of 10 m.
  • In other words, ar is equal to a hundredth.
  • In 1 are there are 100 m 2, 1 weave, 0.01 ha, 0.0001 km 2.

How many ares are in one hectare?

  • There are 100 ares in one hectare, just like acres.

What is 1 acre equal to?

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

1 acre \u003d 4840 sq. yards \u003d 4046.86 m 2

Old 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 quarter = 1/2 tithe = 1200 sq. fathoms = 5462.7 m² = 0.54627 ha
  • 1 octopus \u003d 1/8 tithe \u003d 300 square sazhens \u003d 1365.675 m² ≈ 0.137 ha.
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Before you get acquainted with the units of area, you need to pay attention to how to calculate the area of ​​\u200b\u200ba figure. The first figure that is studied in school is a square. A square with a side of one unit is called a unit square. It can be 1 meter, centimeter or any other value. The area of ​​other figures is always compared to the unit square. The area of ​​a figure shows how many unit squares will fit on its surface.

Rice. 1. Unit square.

In order to calculate its area, you need to multiply the two sides.

$$S = 1cm * 1cm = 1cm^2$$

Rice. 2. Chessboard.

To calculate the area of ​​a chessboard, multiply the width by the length. I.e:

$$S= 8 * 8 = 64 squares$$

And if we take 1 square of the chessboard as a unit square of 1 $cm^2$ , then the area of ​​the chessboard is $64 cm^2$.

Squares can be measured in different units, respectively, they have different designations.

Rice. 3. A square with a side that is measured in different units.

The correct unit of area is called a square centimeter, or a square meter, depending on the units in which the sides are measured.

So, the units for measuring area:

  • $1 cm^2$;
  • $1 m^2$;
  • $1 km^2$;
  • $1 hectare (ha)$;
  • $ 1 ar (a.) $, otherwise called weaving

Some units of measurement we often use in ordinary life to designate land. This is a hectare, weave and ares.

When solving problems, it is imperative to pay attention to units of measurement. Centimeters can only be added to centimeters, and meters can only be added to meters. Therefore, it is always necessary to ensure that in the given solution of the problem all values ​​are expressed in the same units of measurement.

💡
IN English speaking countries(USA, Canada, Great Britain, Australia) use acres, yards to measure land. $1 acre = 4940 yards = 4046.96 m^2$.

Task example:

No. 1. Convert $10 m^2$ to $cm^2$

Solution:

  • $1 m. = 100 cm$;
  • $1 m^2 = 100 x 100 = 10,000 cm^2$;
  • $10 m^2 = 10 x 10,000 = 100,000 cm^2$

No. 2. How many ares in $500 m^2$?

Solution:

  • $100 m^2 = 1 a$;
  • $500 m^2 = 5 a$.

How are units of area related?

In order to see the relationship, you need to pay attention to the table.

Table “Area Units”

Area units

$1km^2$

1 hectare

1 weaving

$1 m^2$

$1 km^2$

1 hectare (ha)

1 sotka or ar 4.3. Total ratings received: 135.

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 whole figure is 8 cm2.

Remember!

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

In math to find area geometric shapes use special formulas in which the area is indicated 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 side length 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 square with a side of 1 cm.

Its area is:

S \u003d 1 cm 1 cm \u003d 1 cm 2

Consider a square with a side of 1 m.

Its area is:

S \u003d 1 m 1 m \u003d 1 m 2

It is known that: 1 m = 100 cm

1 m 2 \u003d 1 m 1 m \u003d 100 cm 100 cm \u003d 10,000 cm 2

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

ar or weaving.

S \u003d 10 m 10 m \u003d 100 m 2

In one are - one hundred square meters.

The word "weaving" is often used in summer cottages, although this is the same as "ar".

1 ar (weave) \u003d 100 m 2

To express ar in cm 2, recall that 1 m 2 \u003d 10,000 cm 2.

Means: 1 ar (weaving) \u003d 100 m 2 \u003d 100 10,000 cm 2 \u003d 1,000,000 cm 2

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

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

Express hectare in square meters.

1 ha \u003d 100 m 100 m \u003d 10,000 m 2

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

1 ar \u003d 100 m 2

Means: 10,000 m 2: 100 m 2 \u003d 100 (ar)

1 ha = 100 are

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

1 km = 1000 m

1 km 2 \u003d 1 km 1 km \u003d 1,000 m 1,000 m \u003d 1,000,000 m 2

For ease of calculation, 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.

haarm 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 1 are 100 m2 1 000 000 cm 2
1 m 2 0.000 1 ha 0.01 are 1 m 2 10 000 cm2

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

At school, each of us studied the units of measurement of the area of ​​land. We knew what an ar, a weave, a hectare were, and how many square meters they contained. Today, many adults have already forgotten how to perform such fairly simple computational operations. This article will come to the aid of such "dunno" people.

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

  • Weaving is a unit of measurement for the size of a plot, which is often used in summer cottages or agriculture. In science, it is customary to use an analogue of a hundred - ar.
  • Based on the name of this measure, you can already guess that we are talking about hundreds of meters.
  • Indeed, one hundred square meters is equal to 100 m2.
  • In other words, one weave will be equal to the area of ​​​​a square with sides of 10 m.
  • Accordingly, in ten acres there will be 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.

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

  • To calculate how many acres 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?



  • A hectare is a unit for measuring the size of a plot, which is equal to the area of ​​a square with sides of 100 m. A hectare, like a weave, is mainly used as measuring units only in agriculture and summer cottages.
  • The designation of 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



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

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



How many acres in hectares?
  • To calculate how many acres corresponds to a given number of hectares, you need to multiply the number of hectares by 100.
  • So, in 1 hectare there are 100 acres, in 10 hectares - 1000 acres, in 100 hectares - 10,000 acres, and in 1000 hectares - 100,000 acres.

How many hectares in 1, 10, 100, 1000, 10,000 acres, square meters: table



  • To calculate how many hectares are contained in a given number of acres, you need to divide the number of acres by 100.
  • And in order to carry out such calculations with square meters, it is necessary to divide their number by 10,000.
  • So, in 1 acres there are 0.01 ha, in 10 acres - 0.1 ha, in 100 acres - 1 ha, in 1000 acres - 10 hectares, in 10,000 acres - 100 hectares.
  • In turn, there are 0.0001 ha in 1 m2, 0.001 ha in 10 m2, 0.01 ha in 100 m2, 0.1 ha in 1000 m2, and 1 ha in 10,000 m2.

How many square kilometers are in 1 hectare?



  • A square kilometer is a unit of land area, 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, it is necessary to divide its given number by 100.
  • So, in 1 hectare there are 0.01 sq. km.



  • Arom is a unit of measure for the size of a plot, equal to the area of ​​a square with sides of 10 m.
  • In other words, ar is equal to a hundredth.
  • In 1 are there are 100 m2, 1 weave, 0.01 ha, 0.0001 sq. km.

How many ares are in one hectare?



There are 100 ares in one hectare, just like acres.

Area units: Video

>>Math: Area. Area units

Area units

The following units are used to measure areas: 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.

Field areas are measured in hectares (ha). A hectare is the area of ​​a square with a side of 100 m. So, 1 ha is equal to 100,100 square meters, that is

1 ha \u003d 10,000 m 2.

The areas of small plots of land are measured in ares (a). Ar (weave) - area square with a side of 10 m.

Means, 1 a \u003d 100 m 2.

Because 1 dm = 10 cm, then 1 dm 2 contains 10-10 square centimeters, that is, 1 dm 2 \u003d 100 cm 2.

We also establish that 1 m 2 \u003d 100 dm 2. Because 1 m = 100 cm, then 1 m 2 contains 100 100 square centimeters, that is 1 m 2 \u003d 10000 cm 2.

The ratios between units of area are shown on the flyleaf.

3 8 3 - 5 b 3; (5 2 - 4 2) 3 .

775. Calculate:

a) 4! - 4 2 ; b) 6! : 60; in 3! - five; d) 5! + 5 3 .

776. Make an expression according to the scheme and find its value (Fig. 76).

777. Solve the problem:

1) Three stories occupy 34 pages. The first takes 6 pages, and the second - 3 times less than the third. How many pages is the second story?

2) Three lakes have a total area of ​​32 hectares. The area of ​​the first lake is 4 times the area of ​​the second, and the area of ​​the third lake is 7 hectares. Find the area of ​​the first lake.

778. Find the value of the expression:

1) 767 520: 4: 15: 123; 3) 286 208: 86: 16 505;
2) 312 (9520: 68: 7); 4) 101 376: 48: 24: 8.

779. The length of a rectangular plot of land is 43 m, and its width is 15 m less than its length. Find the perimeter and area of ​​the plot.

780. The length of a rectangular field is 300 m and the width is 200 m. Find the area of ​​the field and express it in ares and hectares.

781. Express:

a) in square meters: 6 ha 56 a; 2 km 2 67 ha; 22 km 2 65 ha 9 a; 6 km 2 12 a;

b) in square millimeters: 6 cm 2 15 mm 2; 3 dm 2 8 mm 2.

782. Workers were allocated 6 hectares of land for garden plots. How many workers were given plots if the area of ​​each plot is 12 acres?

783. Thanks to a rationalization proposal, it was possible to save 1250 cm 2 of leather on every 50 pairs of boots. How much leather is saved in 25 working days if 1500 pairs of shoes are produced every day?

784. One of the sides of a triangle is 3 dm 6 cm long, and the other is twice as long. The length of the third side is 4 dm 3 cm less than the sum of the lengths of the first two sides. Find the perimeter of the triangle.

785. A young worker completed the task in 8 hours, making 18 parts per hour. In how many hours will his mentor complete the same task, if in an hour he does 6 more details than the young one worker ?

786. An invoice received several years ago in a store has not been fully preserved (Fig. 77). Restore account.

787. Yield is the mass of plant yield harvested per unit area. Denoting the yield with the letter t, the area with the letter S, write down the formula for finding the mass M of the crop. Determine by this formula:

a) what grain yield will the farmer get from a field of 25 hectares with a yield of 35 centners per hectare;
b) what is the yield of strawberries if 108 kg were harvested from a bed of 18 m 2.

788. Find the value of the expression:

a) 182 + 52; b) (18 + 5)2; c) 18 + 52.

789. Do the following:

a) 980 081 + (341 640 - 1263 209);
b) 400 615 - (352 203 - 2031 138).

N.Ya. VILENKIN, V. I. ZHOKHOV, A. S. CHESNOKOV, S. I. SHVARTSBURD, Mathematics Grade 5, Textbook for educational institutions

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