__maths__>__Mensuration : Length, Area, and Volume__>__Mensuration: Two Dimensional Shapes__### Area of a circle

*In the topic "mensuration", the foundation focuses on learning • what is measurement standard? • Absolute and Derived Standards*

In this page, the formula to find area of a circle is introduced

*click on the content to continue..*

We have learned the following

• Length of a real-life object or a line can be a decimal number in which the decimals do not end or do not repeat.

• Circumference of a circle is `pi` times the diameter.

Similarly, the area of a circle of `1cm` radius is also a decimal number in which the decimals do not end or repeat. It is calculated that the area of a circle is `pi xx r xx r` or `=pir^2`.

What is the area of a circle of radius `1cm`?

- `pi cm`
- approximately `22/7 cm`
- approximately `3.14cm`
- all the above
- all the above

The answer is "all the above"

**Area of a Circle** :

` = pi r^2`

*Solved Exercise Problem: *

What is the area of a circle of `1/pi cm` radius?

- `1cm^2`
- `1/pi cm^2`
- `1/pi cm^2`

The answer is "`1/pi cm^2`".

Area

`=pi r^2`

`=pi xx 1/pi xx 1/pi`

`=1/pi cm^2`

*slide-show version coming soon*