Question

Find the radius of a circle with an area of 380 in².

Answer 1

11 inches

Explanation:

The area of a circle can be found using:

`a=\pi r^(2)`

We already know that the area is 380, so we can substitute 380 in for a.

380=
`\pi r^2`

Now, we need to find the radius. To do this, we need to get r by itself

First, divide both sides by pi

`380/\pi =\pi r^2/\pi`

120.95775675=r^2

Since r is being squared, we need to take the square root of both sides

`√(120.95775675)=√(r^2)`

10.9980796846=r

If we round to nearest whole number, our radius is 11 inches