Mathematics, 13.07.2019 01:00 vladisking888

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.

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Answer from: Packergood

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

$Population \ density = \frac{Number \ of \ people }{Land \ area}$

∴ $Number \ of \ people = Population \ density \times Land \ area$

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

$A = \pi r^{2}$

Where is the area

and is the radius

From the question

$r = 4 \ mile$

∴ Area of the region = $\pi \times 4^{2}$

Area of the region = $\pi \times 16$

Take $\pi = 3.14159$

∴ Area of the region = $3.14159 \times 16$

Area of the region = $50.26544 \ square \ mile$

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

Put the values into the equation

$Number \ of \ people = Population \ density \times Land \ area$

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

From above, area of the region = 50.26544 square mile

$Number \ of \ people = 6366 \times 50.26544$

$Number \ of \ people = 319989.79104$

∴ Number of people ≅ 319990 people

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

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Answer from: yungdaggerdic4543

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

Answer from: Quest

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.

the distance y is the side opposite to angle x in the right triangle. use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

Hurry i need your (50 points) the moon forms a right triangle with the earth and the sun during one

Answer from: Quest

srry idk

step-by-step explanation:

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