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saul85 [17]
3 years ago
5

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

rs in terms of π?
Business
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

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

Explanation:

<em>Step 1: Determine the circumference of one floor</em>

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

<em>Step 2: Determine the Area of one circular floor</em>

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

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