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

Respuesta :

A. 24 miles

Explanation:

the area inside a circle is given by:

[tex]A=\pi r^2[/tex]

where r is the radius of the circle.

In this problem, we know the circular area:

[tex]A=1,808.64 mi^2[/tex]

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

[tex]r=\sqrt{\frac{A}{\pi}}=\sqrt{\frac{1,808.64}{\pi}}=24.0 mi[/tex]

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

Answer:

24 miles

Step-by-step explanation:


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