Question

The area of a circle is 36π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Answer 1

`12\pi in`

Explanation:

We are given that

Area of circle=
`36\pi in^2`

We have to find the circumference of circle in inches.

We know that

Area of circle=
`\pi r^2`

Using the formula

`36\pi=\pi r^2`

`r^2=36`

`r=√(36)=6` in

Circumference of circle=
`2\pi r`

Using the formula

Circumference of circle=
`2\pi (6)=12\pi in`

Hence, the circumference of circle=
`12\pi in`