Question

Find the area of a circle whose circumference is 31.4 units

Answer 1

Circumference = 2 x Pi x Radius (R)
Pi = approximately 3.14

-> 31.4 = 2 x 3.14 x R
-> R x 6.28 = 31.4
-> R = 31.4/6.28
-> R = 5 units

Area = Pi x R^2

-> Area = 3.14 x 5^2
-> Area = 3.14 x 25
-> Area = 78.5 Units^2

Answer 2

The area of the circle is 78.5 unit square.

Explanation:

Given : The circumference is 31.4 units.

To find : The area of the circle ?

Solution :

The circumference of the circle is
`C=2\pi r`

Where, r is the radius

C is the circumference C=31.4 units

`31.4=2\pi r`

`r=(31.4)/(2* 3.14)`

`r=5`

The radius of the circle is r=5 unit.

The area of the circle is
`A=\pi r^2`

`A=3.14* 5^2`

`A=3.14* 25`

`A=78.5`

Therefore, The area of the circle is 78.5 unit square.