About 210,000 people live in a circular region with a 12 mile radius. Find the population density in people per square mile.

Given:Population, P = 210,000 peopleRadius, r = 12 milesSolving for population density, D, per square mile, first solve for Area, A:A = π(R^2)A = 3.1416(12^2)A = 3.1416(144)A = 452.3893 square milesD = P/AD = 210,000/452.3893Population density, D = 464.2019 people per square mile

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maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-03T08:34:21+02:00

The population density is 464.20 people per square mile because the total number of people living in the circular region is 210,000, and the radius of the region is 12 mile

What is population density?

It is defined as the measure of density that gives an idea about how much population is occupied per unit. It is the ratio of the total number of people to the area.

We have:

Total number of people living in the circular region = 210,000

The radius of the region = 12 miles

The area of the region = πr²

= π(12)²

= 452.389 square miles

The population density is given by:

[tex]=\frac{210000}{452.389}[/tex]

= 464.20 people per square mile

Thus, the population density is 464.20 people per square mile because the total number of people living in the circular region is 210,000, and the radius of the region is 12 mile

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