Question

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

Answer 1

Step-by-step 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.

$r=\sqrt{\frac{A}{\pi } }$

$r=\sqrt{\frac{113.1}{\pi } }$

$r=\sqrt{36}$

$r=6$

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.