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

Answer:

747  people per square mile

Step-by-step 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.