Question

Circletown’s limits form a perfectly circular shape, it has a population of 20,000 and a population density of 480 people per square kilometer. What is circle towns radius?

Answer 1

3.64

Explanation:

Round it to this if you are on khan academy

Answer 2

The radius of the town is 3.641 km.

Explanation:

The density of people in the city is given by the formula:

density = number of people / area of the city

Since the city is a perfect circle, it's area is given by:

area of the city = pi*r²

We have:

480 = 20000/pi*r²

480*pi*r² = 20000

r² = 20000/480*pi

r = sqrt(20000/480*pi) = 3.641

The radius of the town is 3.641 km.