A region with a 5-mile radius has 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:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000