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# In the figure above, the circumference of the circle is 20π

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In the figure above, the circumference of the circle is 20π [#permalink]  26 Aug 2017, 02:08
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66% (01:00) correct 33% (00:48) wrong based on 6 sessions

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In the figure above, the circumference of the circle is 20π. Which of the following is the maximum possible area of the rectangle?

(A) 80
(B) 200
(C) 300
(D) $$100 \sqrt{2}$$
(E) $$200 \sqrt{2}$$
[Reveal] Spoiler: OA

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Kudos [?]: 20 [1] , given: 21

Re: In the figure above, the circumference of the circle is 20π [#permalink]  07 Dec 2017, 04:38
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So the rectangle is going have the greatest Area if it is a square.

We know that the circle has a diameter of 20.

The square will have this diameter as its diagonal. In every sqaure the diagonal is a side * sqRoot of 2. So here it is 20/(sqRoot2).

If we multiply 20/(sqRoot2) we obtain 200.
Re: In the figure above, the circumference of the circle is 20π   [#permalink] 07 Dec 2017, 04:38
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