Julie bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs? Leave answer in terms of π.

A8π ft2
B16π ft2
C32π ft2
D48π ft2

Verified Answer :

Answer is D.) 48π ft²

Given:
3 circular rugs.
radius: 4 ft

Area of a circle = π r²
A = 3.14 (4ft)²
A = 3.14
16ft²
A = 50.24 ft² 

Total area of 3 rugs

50.24 ft² * 3 rugs = 150.72 ft²

Equation leaving π.

150.72ft² ÷ 3.14 = 48ft²

D.) 48π ft²

Answer: 48π ft2

Step-by-step explanation: The formula for area of a circle is A = πr2. The radius of each rug is 4 feet. We substitute 4 into the formula and we get 16π ft2. Multiply by three to find the total area covered is 48π ft2