Question

About 150,000 people live in a circular region with a population density of about

1578 people per square mile. Find the iudius of the region.

A)11 miles
B)8.2 miles
C)5.5 miles
D) 2.75 miles

Answer 1

Area of a circle = pi x r^2

Area of circle = 150,000/ 1578 = 95.06 square miles

95.06 = 3.14 x r ^2

Divide both sides by 3.14

R^2 = 30.27

Find the square root:

R = sqrt(30.27)

R = 5.5

The radius is c) 5.5 miles