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…

Question

asked Feb 27, 2019 206k views

2 Answers

Zahra Zamani · Answer 1 · 2019-03-01T11:12:31+0000

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.

Jlewkovich · Answer 2 · 2019-03-03T19:38:14+0000

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