Question

A circular region has a population of about 470,000 people and a population

density of about 9350 people per square mile. Find the radius of the region.

Help lol. Geometry makes no sense.

Answer 1

The radius is 4 miles

Explanation:

-First we need to know the area of the circle. This is found by dividing total population by the population density

-470,000/9,350 = 50.2674 square miles (rounded)

-Now knowing that to find the area of a circle is the radius squared times PI, we need to reverse this to:

-First divide the area by PI (3.1415)

-50.2674/3.1415 = 16

-then find the square root of the answer.

the square root of 16 is 4

so the population is in a circle with a radius of 4 miles.