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.

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calculista calculista · Answer 1 · 2019-06-03T19:35:30+02:00

Answer:

[tex]340,000\ people[/tex]

Step-by-step explanation:

step 1

Find the area of the circular region

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ mi[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(7)^{2}[/tex]

[tex]A=153.86\ mi^{2}[/tex]

step 2

Find the number of people who live in the region

Multiply the area by the density

so

[tex]A=153.86*(2,200)=338,492\ people[/tex]

Round to the nearest ten thousand

[tex]338,492=340,000\ people[/tex]

ewomazinoade ewomazinoade · Answer 2 · 2022-04-19T11:10:19+02:00

The number of people who live in the region to the nearest ten thousand is 340,000.

Population density is the amount of organisms that live in a square feet of an area.

Population density x area = population

Area = πr²

3.14 x 7² = 153.86 m²

Population = 153.86 x 2200 = 340,000

To learn more about population density, please check:

https://brainly.com/question/3704320