Question

A region with a 5 mile radius had a population density of about 3100 people per square mile. Find the number of people who live in the region to the nearest ten thousand

Answer 1

This is equal to 240,000 people to the nearest ten thousand

Explanation:

Firstly, we will be needing to calculate the are within the radius.

Mathematically, the area A = π
`r^(2)`

we substitute 5 miles for r

A = π × 5 × 5 = 25π
`mile^(2)`

Now the population density is 3100 people/
`mile^(2)`

The number of people within that area will thus be;

3100 people/
`mile^(2)` × 25π
`mile^(2)` = 243,473.43

This is equal to 240,000 people to the nearest ten thousand