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
[tex]A = \dfrac{20000}{480}[/tex]
[tex]A = 41.667\ km^2[/tex]
As we know, the formula used to find the area of a circle is:
A = π[tex]r^{2}[/tex]
In this situation, we already knew the area of the town
<=> A = π[tex]r^{2}[/tex] = 41.776
<=> [tex]r^{2}[/tex] = 41.776 / 3.14
<=> r = 3.64 km
So the radius of the town is 3.64 km
