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.

Answers: 1

Show answers

Answers

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.

Learn more here: link

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

-1/2 +2

step-by-step explanation:

Answer from: Quest

yes

step-by-step explanation:

yes

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Apatient is to take 60 mg of an antibiotic on day 1, take 45mg on days 2 and 3, take 30mg on days 4 and 5 and take 15 mg on days 6 and 7. how many total mg will the patient take?

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

You have a square piece of cardboard that measures 14 inches on each side. to build a box, you cut congruent squares out of each corner of the cardboard. use the picture to find the area of the cardboard you were used to build the box

Answers: 2

Answer

Mathematics, 21.06.2019 23:40

Mikes car gets an average of 28 mpg. there are 12 gallons of fuel in mikes car when he starts his trip of 140 miles. about how many gallons are left at the end of his trip?

Answers: 1

Answer

Mathematics, 22.06.2019 02:30

Which problem would you use the following proportion to solve for? 24/x=40/100 a. what is 40% of 24? b. what percent is 24 of 40? c. twenty-four is 40% of what number? d. forty percent of 24 is what number?

Answers: 3

Answer

You know the right answer?

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

Questions