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GRE Math Challenge #11-ABCD is a rectangle, and BE and CF

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sandy
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GRE Math Challenge #11-ABCD is a rectangle, and BE and CF [#permalink] New post   Updated on: 29 Nov 2017, 12:33
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figure 9.jpg
figure 9.jpg [ 12.76 KiB | Viewed 4042 times ]


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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B

Originally posted by sandy on 07 Sep 2014, 06:22.
Last edited by Carcass on 29 Nov 2017, 12:33, edited 1 time in total.
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B
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Re: GRE Math Challenge #11-ABCD is a rectangle, and BE and CF [#permalink] New post   23 Jul 2018, 17:34
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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
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gmatclubot
Re: GRE Math Challenge #11-ABCD is a rectangle, and BE and CF [#permalink]
23 Jul 2018, 17:34
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