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.

2291

Step-by-step 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 = square miles

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

The area of a circle is PiR^2, or Pi x R x R.
Pi is normally used as 3.14, as there is no end to it's decimal.
Since the radius is 7, we need to multiply the radius by itself and then by 3.14.
7 x 7 = 49.
49 x 3.14 = 153.86mm, or 153.9mm if rounded to the decimal place.
153.86mm^2 is your answer.
I hope this helps!