An earthquake was felt throughout a circular area of 1808.64sq. miles.What was the radius of the circular area

Question

An earthquake was felt throughout a circular area of 1808.64sq. miles.What was the radius of the circular area

Answer 1

A(rea) =  pi X r(adius)^2

You're looking for the radius, and you know the area, so solve the equation for the r(adius) by dividing both sides of the equation by pi and then taking the square root of both sides.

A(rea)/pi =  r(adius)^2

then

r(adius) = square root of A(rea)/pi

Use the value of 3.14 for the approximate value of pi, and then sub in your area.

r(adius) = square root of 1808.64/3.14

r(adius) = square root of 576

r(adius) = 24

Since the area was in terms of square miles, the radius is in miles, so the radius of the area covered by the earthquake is 24 miles.