Question

A circle has an area of 324 pi feet squared. what is the circumference?

Answer 1

The area of a circle is pi*r^2 so 324/pi is 103 if you take the square root of that it is 10.15. so you would use the circumference formula now, which is 2 pi r so 2*pi*10.15= 63.77

Answer 2

Circumference of circle is 36π feet.

Explanation:

Given : area of circle is 324π feet²

We have to find the circumference of the given circle.

Consider Area of circle is 324π feet²

We know, Area of circle =
`\pi r^2`

Thus,
`324\pi=\pi r^2`

Simplify for r , we have,

`324=r^2`

Taking square root both side, we have,

`r=√(324)=18`

Circumference of circle is given by
`2\pi r`

Substitute, we get,

`C=2\pi r`

`C=2\pi (18)=36\pi`

Thus, Circumference of circle is 36π feet.