Question

About 1.75 million people live in a circular region with a 15-mile diameter. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answer with work please

Answer 1

The diameter of the circular region is 15 miles

that gives radius = 7.5 miles

Now,

Area = π r² = 3.14 * 7.5* 7.5

= 176.625 mile²

Population density = number of people / land area

this is =
`(1750000)/(176.625) = 9907.997`

Now rounding off to nearest whole number, we get 9908

So, there are 9908 population living in per square mile.

Answer 2

About 1.75 million people live in a circular region with a 15-mile diameter. Find the population density in people per square mile.

Solution: We are given that the population of a circular region = 1.75 million =
`1,075,000`

Also we are given the circular region has a diameter = 15 mile

Which means the radius of region
`(15)/(2)=7.5` mile

Therefore, the area of the circular region
`=\pi r^(2)`

`=3.14 * 7.5^(2)`

`=176.625`

Now the population density per square mile is:

`(1075000)/(176.625)`

`6086.34 \approx6086`

Therefore, the population density per square mile is 6086