The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure) . What percent of the floor is covered by the rug? Round your answer to the nearest integer.

$a = 10, b = 12$

A) 46%
B) 42%
C) 10%
D) 21%
E) 58%

Question

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure) . What percent of the floor is covered by the rug? Round your answer to the nearest integer.

a = 10, b = 12

A) 46%
B) 42%
C) 10%
D) 21%
E) 58%

Andre Lewis · Accepted Answer

Final Answer : B, Explanation :   The area of the rectangular room is $10 	imes 12 = 120$ square feet. The area of the circular rug is $\pi(4^2) = 16\pi$ square feet. To find the percentage of the floor covered by the rug, we divide the area of the rug by the area of the floor and multiply by 100:   16 π 120 × 100 ≈ 42 % \frac{16\pi}{120} 	imes 100 \approx 42\% 120 16 π ​ × 100 ≈ 42%   Rounded to the nearest integer, the answer is $\boxed{	extbf{(B) }42\%}$.

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure) . What percent of the floor is covered by the rug? Round your answer to the nearest integer.

$a = 10, b = 12$

A) 46%
B) 42%
C) 10%
D) 21%
E) 58%

Definitions

Learning Objectives

Learning Objectives

Related questions