Respuesta :
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 = [tex]1,075,000[/tex]
Also we are given the circular region has a diameter = 15 mile
Which means the radius of region [tex]\frac{15}{2}=7.5[/tex] mile
Therefore, the area of the circular region [tex]=\pi r^{2}[/tex]
[tex]=3.14 \times 7.5^{2}[/tex]
[tex]=176.625[/tex]
Now the population density per square mile is:
[tex]\frac{1075000}{176.625}[/tex]
[tex]6086.34 \approx6086[/tex]
Therefore, the population density per square mile is 6086
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 = [tex]\frac{1750000}{176.625} = 9907.997[/tex]
Now rounding off to nearest whole number, we get 9908
So, there are 9908 population living in per square mile.
