Question

About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answer 1

747 people per square mile

Explanation:

population of city's town hall = 150,000

Radius of city's town hall = 8 mile

area of any circular shape is given by
`\pi r^2`.

r is the radius of circle.

p

Area of city's town hall =
`\pi r^2= 3.12*8^2 = 3.14*64 = 200.96`

Population density for any place is ratio of population of that place to area of that place

Thus

Population density for city's town hall = population of city's town hall /Area of city's town hall

Population density for city's town hall = 150,000/200.96

Population density for city's town hall= 746.42 people per square mile.

Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.