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The diameter of each of the two shaded semi-circular regions is 14 uni
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10 May 2025, 11:03
10 May 2025, 11:03
Expert Reply
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Question Stats:
66% (01:45) correct
33% (01:27) wrong based on 3 sessions
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GRE The diameter of each of the two.png [ 6.22 KiB | Viewed 422 times ]
The diameter of each of the two shaded semi-circular regions is 14 units. The area of the shaded region is what percent of the area of the larger semi-circle?
(A) 10
(C) 25
(E) 60
(B) 20
(D) 50
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Re: The diameter of each of the two shaded semi-circular regions is 14 uni
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13 May 2025, 04:00
13 May 2025, 04:00
Expert Reply
The radius of the semicircle $=14$, and the area of the shaded region $\(=2 \times \frac{1}{2} \times \pi \times r^2=2 \times \frac{\pi}{2} \times 7^2\)$ The percentage of the area of the shaded region to the area of the semi-circle $\(=\frac{2 \times \frac{1}{2} \times \pi \times 7^2}{\frac{1}{2} \times \pi \times 14^2}=\frac{1}{2}=50 \%\)$.
Therefore, the correct answer is $D$.
Therefore, the correct answer is $D$.
gmatclubot
Re: The diameter of each of the two shaded semi-circular regions is 14 uni [#permalink]
13 May 2025, 04:00
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