A retail tower is circular with 20 floors. The circumference around the building is 200π. What is the square footage of all floors in terms of π?

The area of all floors=200,000π square foot

Explanation:

Step 1: Determine the circumference of one floor

Since the retail tower is circular in shape with a circumference of 200π, it means one floor has a perimeter of 200π.

The formula for the circumference of a circle is;

C=2πr

where;

C=circumference of the circle

π=pi

r=radius of the circular tower

In our case;

C=200π

r=unknown

replacing;

200π=2πr

r=200π/2π

r=100 feet

Step 2: Determine the Area of one circular floor

The area of a circle is given as;

A=πr^2

where;

r=100 feet

A=unknown

replacing;

A=π*100^2

A=10,000π square foot

The area of one floor=10,000π square foot

Area of all floors=area of one floor*number of floors

where;

area of one floor=10,000π square foot

number of floors=20

replacing;

Area of all floors=20*10,000=200,000π square foot