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.
A) 8π ft2
B) 16π ft2
C) 32π ft2
D) 48π ft2

Respuesta :

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