Question

About 650,000 people live in a circular region with a 6-mile radius. Find the population density in people per square mile.

Answer 1

To find the population density we need to divide population by area then live on:
$density= \frac{population}{area}$

The given number live in a circular place. Area is given by formula:
$A= r^{2} \pi$
Where r is radius

Now we have:
$density= \frac{650000}{ 6^{2} \pi } =\frac{650000}{ 36 \pi }=5747.26$

The population density is 5747.26 people per square mile.