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GRE Math Challenge #20-radius of circle O is 10

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GRE Math Challenge #20-radius of circle O is 10 [#permalink] New post   07 Sep 2014, 06:34
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In the figure below, if the radius of circle O is 10, what is the length of diagonal AC of rectangle OABC?

Image


A. \(\sqrt{2}\)

B. \(\sqrt{10}\)

C. \(5 \sqrt{2}\)

D. \(10\)

E. \(10 \sqrt{2}\)


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D
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Re: GRE Math Challenge #20-radius of circle O is 10 [#permalink] New post   06 Apr 2020, 10:35
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AC, which is clearly longer than OC, is approximately as long as radius OE.

Therefore, AC must be about 10. Check the choices. They are approximately 1.4, 3.1, 7, 10, and 14. The answer must be 10.
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Re: GRE Math Challenge #20-radius of circle O is 10 [#permalink] New post   16 Aug 2020, 18:33
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We are told that Quadrilateral OABC is a rectangle
Diagonals of a rectangle are of equal length

Therefore the length of AC= OB

OB=radius of circle O
OB=10

AC=10

Final Answer: D
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Re: GRE Math Challenge #20-radius of circle O is 10 [#permalink] New post   12 Jul 2024, 15:29
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Re: GRE Math Challenge #20-radius of circle O is 10 [#permalink]
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