Question

About 180,000 people live in a 5-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

2291

Explanation:

Given: Radius of a city's town hall is equal to 5-mile and about 180,000 people live in a city's town hall

To find: population density per square mile

Solution:

Population density refers to the number of people per unit of area.

Let r denotes radius of the town hall = 5 miles

Area of the town hall =
`\pi r^2=\pi (5)^2=25\,\pi` square miles

Population density per square mile = Population of a city's town hall/area of the town hall = 2290.9
`\approx 2291`