Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:
[tex]a=\pi r^{2}[/tex]
We already know that the area is 380, so we can substitute 380 in for a.
380=[tex]\pi r^2[/tex]
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi
[tex]380/\pi =\pi r^2/\pi[/tex]
120.95775675=r^2
Since r is being squared, we need to take the square root of both sides
[tex]\sqrt{120.95775675}=\sqrt{r^2}[/tex]
10.9980796846=r
If we round to nearest whole number, our radius is 11 inches
