Acircular region with a 4-mile radius has a population density of about 6366 people per square mile. find the number of people who live in the region.

The number of people who live in the region is 319,990 people

From the question,

The radius of the circular region is 4-mile and

Population density is about 6366 people per square mile

To determine the number of people who live in the region,

From the formula for population density

∴

Therefore, we will first determine the land area of the circular region.

Since, the region is circular, we can determine the area of the region using the formula for finding area of a circle.

Area of a circle is given by the formula

Where is the area

and is the radius

From the question

∴ Area of the region =

Area of the region =

Take

∴ Area of the region =

Area of the region =

Now, for the number of people who live in the region,

Put the values into the equation

From the question, population density = 6366 people per square mile

From above, area of the region = 50.26544 square mile

∴ Number of people ≅ 319990 people

Hence, the number of people who live in the region is 319,990 people.

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The number of people live in circular region are 319,990

Step-by-step explanation:

A circular region with a 4-mile radius has a population density of about 6366 people per square mile.

[tex[\text{Population density }=6366\text{ people/mi}^2[/tex]

Area of circular region = πr²

where, radius (r) = 4 miles

Area of circular region = π x 4²

                                     = 16π mi²

We need to find number of people who live in the circular region .

Number of people = Population density x Area of region

Number of people = 6366 x 16π

                               = 319,990

Hence, The number of people live in circular region are 319,990

this doesn't make sense lol

step-by-step explanation: