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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] New post 26 Aug 2017, 02:08
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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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Re: In the figure above, the circumference of the circle is 20π [#permalink] New post 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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In the figure above, the circumference of the circle is 20π

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