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

Respuesta :

Answer:

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

Step-by-step explanation:

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

Mathematically, the area A = π[tex]r^{2}[/tex]

we  substitute 5 miles  for r

A = π × 5 × 5 = 25π[tex]mile^{2}[/tex]

Now the population density is 3100 people/[tex]mile^{2}[/tex]

The number of people within that area will thus be;

3100 people/[tex]mile^{2}[/tex] × 25π[tex]mile^{2}[/tex] = 243,473.43

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