Question

4. A region has 1,158,000 people within a 7.5-mile radius from the region's center. Find the population density ofthe region. (2pts)

Answer 1

The first step to solve this problem is to find the area of the region. You do it by using the formula for the area of a circle:

`\begin{gathered} A=\pi\cdot r^2 \\ A=7.5^2\cdot\pi \\ A=176.7 \end{gathered}`

The area of the region is 176.7 square miles.

Now, divide the population by the area of the region:

`D=(1158000)/(176.7)=6553.5`

The population density of the region is 6,553.5 people/square mile