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Conversion of Units Area

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Introduction to Area Convertor

Conversion of units is a very important topic in mathematics. It is one of the most used mathematical functions, and it is used in many different contexts. In the context of the conversion of unit area, we will discuss how to convert the unit area into other numbers and what conversions can be performed.


Conversion of unit area It is a scalar quantity used to measure the quantity of two-dimensional geometric plane figures where length and breadth are considered. In this article, we will learn about the conversion of a hectare to acres conversion and perimeter to acre converter.


Area Convertor

Conversion of units is the most important process in mathematics. It involves multiplying two numbers and converting them into another number. Conversion is a measurement used to describe the size and number of a unit with other units. It allows us to compare different types of products, services or activities. It can be done on any type of computer program, but it can also be done on a paper calculator or an electronic area calculator.


Here are some columns related to the area converter, which are as follows;


Length

Units

1 m

10 dm

1 km

1000 m

1 dam

10 m

1 m

100 cm

1 cm

10 mm

1 hm

100 m

Area

Units

$1 \mathrm{~m}^2$

$(10 \times 10) \mathrm{dm}^2=100 \mathrm{dm}^2$

$1 \mathrm{~km}^2$

$(1000 \times 1000) \mathrm{m}^2=1000000 \mathrm{~m}^2$

1 dam $^2$

$(10 \times 10) \mathrm{m}^2=100 \mathrm{~m}^2=1$ acres

$1 \mathrm{~m}^2$

$(100 \times 100) \mathrm{cm}^2=10000 \mathrm{~cm}^2$

$1 \mathrm{~cm}^2$

$(10 \times 10) \mathrm{mm}^2=100 \mathrm{~m}^2$

$1 \mathrm{hm}^2$

$(100 \times 100) \mathrm{m}^2=10000 \mathrm{~m}^2=1$ hectare (ha)


Hectare to Acres Conversion

The conversion of a measurement from a hectare to an acre is known as the hectare to acre conversion. The International System of Units recognises the hectare as a unit of measurement for land area. The hectare and the acre are both parts of the metric system.


$1 \mathrm{ha}=2.4710538147 \mathrm{ac}$

$1 \mathrm{ac}=0.4046856422 \mathrm{ha}$


Example: convert 15 ha to ac:

$15 \mathrm{ha}=15 \times 2.4710538147 \mathrm{ac}=37.0658072201 \mathrm{ac}$


Perimeter to Acre Converter

To convert perimeter to acre, you would need to know the width of the land in question. Acres are a unit of area, while the perimeter is a measure of the distance around the outside of a shape.


To calculate the area of a rectangle in acres, the formula is:

Area (in acres) = $\dfrac{Width (in feet) \times Length (in feet)}{43560}$

Where 43560 is the number of square feet in one acre.

If you know the perimeter, you can find the width and length of a rectangle using the formula:

P = 2(l + w)

Where P is the perimeter, l is the length, and w is the width.

After finding the width and length you can easily convert the perimeter to acre by using the above formula.


Solved Conversion Examples

Here are some conversion examples related to area converters, which are like this;

Q 1. $40 \mathrm{~cm}^2$ in $\mathrm{mm}^2$

Ans: Given, $40 \mathrm{~cm}^2$

$1 \mathrm{~cm}=10 \mathrm{~mm}$

$1 \mathrm{~cm}^2=100 \mathrm{~mm}^2$

Using conversion of units, $40 \mathrm{~cm}^2=40 \times 100 \mathrm{~mm}^2$

$=4000 \mathrm{~mm}^2$

Thus, the result is $4000 \mathrm{~mm}^2$.


Q 2. 15 hectares in $\mathrm{m}^2$.

Ans: To convert 15 hectares in $\mathrm{m}^2$

1 hectare $=10000 \mathrm{~m}^2$

Using conversion of units, 15 hectares $=15 \times 10000 \mathrm{~m}^2$

$=150000 \mathrm{~m}^2$

Thus, the result is $150000 \mathrm{~m}^2$.


Practice Problems

Q 1. $80 \mathrm{~cm}^2$ in $\mathrm{mm}^2$.

Ans: $8000 \mathrm{~mm}^2$


Q 2. 92 hectares in $\mathrm{m}^2$.

Ans: $920000 \mathrm{~m}^2$


Q 3. $22000 \mathrm{~m}^2$ in hectares.

Ans: $\dfrac{11}{5}$ hectare


Q 4. $4.6$ hectares in acres.

Ans: 460 acres


Summary

In this section, we discussed the conversion of unit areas in mathematics. The first part of this section has been devoted to the concept of units. The second part of this section is dedicated to conversion examples and practice problems and how it has been used for centuries without difficulty. We can use the conversion of units in mathematics to solve numerous problems. This article gives an introduction to the conversion of units area. This section will be very useful for students planning to study statistics in the higher class.

Last updated date: 28th Sep 2023
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FAQs on Conversion of Units Area

1. What is an example of conversion?

An exchange from one unit of measurement to another is referred to as a conversion. Conversion can be seen in the exchange of dollars for euros. Calculating how many cups there are in a litre is an illustration of conversion. A quantity is expressed in different units, such as length or weight.

2. Which are the two most commonly used units of the area?

The square centimetre and square meter are the two most commonly used units for measuring area. The unit, a hectare, is only used to calculate the area of land.

3. Why are square units used to express area?

The quantity of unit squares is necessarily used to cover the entire area of a shape because it represents the total space occupied by the shape, i.e. its area. As a result, it is stated and measured in terms of square units.