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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?

User Athor
by
8.5k points

2 Answers

3 votes

Answer:

3.64

Explanation:

User KesaVan
by
8.2k points
7 votes

Answer:

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

User Nanochrome
by
8.4k points
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