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

Answer:

3.64

Step-by-step explanation:

Answer 2

Answer:

r = 3.64 km

Step-by-step 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

$A = \dfrac{20000}{480}$

$A = 41.667\ km^2$

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