Question

An earthquake was felt throughout a circular area of 1,808.64 square miles. What was the radius of the circular area?

A. 24 miles
B. 576 miles
C. 12 miles
D. 20 miles

Answer 1

24 miles

Step-by-step explanation:

Answer 2

A. 24 miles

Step-by-step explanation:

the area inside a circle is given by:

`A=\pi r^2`

where r is the radius of the circle.

In this problem, we know the circular area:

`A=1,808.64 mi^2`

So we can re-arrange the equation above to find r, the radius:

`r=\sqrt{(A)/(\pi)}=\sqrt{(1,808.64)/(\pi)}=24.0 mi`

so, the radius of the circular area is 24 miles.