Problema Solution

An earthquake could be felt over a 71,810 miles squared area. Up to how many miles from the epicenter could the earthquake be felt? Round to the nearest mile.

Answer provided by our tutors

let


A = 71,810 miles squared is the area of the circle around the epicenter

r = the radius of the circle

pi = 3.14


A = r^2*pi


r^2*3.14 = 71810


by solving we find and consider the positive root (since distance can not be a negative number)


r = 151 miles


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the earthquake can be felt up to 151 miles from the epicenter.