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

Question

asked Dec 23, 2017 121k views

2 Answers

Doplano · Answer 1 · 2017-12-29T18:02:35+0000

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.