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GRE Math Challenge #11-ABCD is a rectangle, and BE and CF
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Updated on: 29 Nov 2017, 12:33
Updated on: 29 Nov 2017, 12:33
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Question Stats:
84% (00:53) correct
15% (01:09) wrong based on 33 sessions
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In the figure, ABCD is a rectangle, and BE and CF are arcs of circles centred at A and D. What is the area of the shaded region?
A. \(10 - \pi\)
B. \(2(5 - \pi)\)
C. \(2(5 -2\pi)\)
D. \(6 + 2\pi\)
E. \(5(2 - \pi)\)
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Re: GRE Math Challenge #11-ABCD is a rectangle, and BE and CF
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23 Jul 2018, 17:34
23 Jul 2018, 17:34
Expert Reply
sandy wrote:
Attachment:
figure 9.jpg
In the figure, ABCD is a rectangle, and BE and CF are arcs of circles centred at A and D. What is the area of the shaded region?
A. \(10 - \pi\)
B. \(2(5 - \pi)\)
C. \(2(5 -2\pi)\)
D. \(6 + 2\pi\)
E. \(5(2 - \pi)\)
The area of the rectangle is 5 x 2 = 10. The total area of the two quarter-circles is 2 x (¼ x π x 2^2) = 2π. Therefore, the area of the shaded region is 10 - 2π = 2(5 - π).
Answer: B
gmatclubot
Re: GRE Math Challenge #11-ABCD is a rectangle, and BE and CF [#permalink]
23 Jul 2018, 17:34
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