Question

A region with a 7-mile radius has a population density of about 2200 people per square mile. Find the number of people who live in the region to the nearest ten thousand.

Answer 1

Answer:

$340,000\ people$

Step-by-step explanation:

step 1

Find the area of the circular region

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7\ mi$

assume

$\pi =3.14$

substitute

$A=(3.14)(7)^{2}$

$A=153.86\ mi^{2}$

step 2

Find the number of people who live in the region

Multiply the area by the density

so

$A=153.86*(2,200)=338,492\ people$

Round to the nearest ten thousand

$338,492=340,000\ people$