Question

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

Answer 1

Answer:

11 inches

Step-by-step 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

$\sqrt{120.95775675}=\sqrt{r^2}$

10.9980796846=r

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