Answer:
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
