Question

Find the circumference of a circle with an area of 113.1 in square

Answer 1

Explanation:

`Circumference = 2r\pi \\Area = r^2\pi`

In order for us to find the circumference, we need to find the radius from the given area by rearranging the area formula.

`r=\sqrt{(A)/(\pi ) }`

`r=\sqrt{(113.1)/(\pi ) }`

`r=√(36)`

`r=6`

Now that we have the radius, we can find the circumference.

`Circumference=2(6)\pi`

`Circumference=12\pi`

`Circumference=37.68`

So, when given 113.1 in sq for the area, the circumference of the circle is 37.68 in.