Question

Circletown's limits form a perfectly circular shape. It has a population of 20000 and a population density of 480 people per square kilometer.

What is Circletown's radius?

Answer 1

3.64

Explanation:

Answer 2

r = 3.64 km

Explanation:

Given the following information:

• population of the town: 20000 people
• population density : 480 people per square kilometer

=> The area of the town is:

= Total population / population density per square kilometer

`A = (20000)/(480)`

`A = 41.667\ km^2`

As we know, the formula used to find the area of a circle is:

A = π
`r^(2)`

In this situation, we already knew the area of the town

<=> A = π
`r^(2)` = 41.776

<=>
`r^(2)` = 41.776 / 3.14

<=> r = 3.64 km

So the radius of the town is 3.64 km