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GRE Math Challenge #20-radius of circle O is 10
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07 Sep 2014, 06:34
07 Sep 2014, 06:34
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Question Stats:
79% (00:51) correct
20% (01:35) wrong based on 63 sessions
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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?
A. \(\sqrt{2}\)
B. \(\sqrt{10}\)
C. \(5 \sqrt{2}\)
D. \(10\)
E. \(10 \sqrt{2}\)
#greprepclub In the figure below, if the radius of circle.jpg [ 14.67 KiB | Viewed 7324 times ]
A. \(\sqrt{2}\)
B. \(\sqrt{10}\)
C. \(5 \sqrt{2}\)
D. \(10\)
E. \(10 \sqrt{2}\)
Show: ::
Attachment:
#greprepclub In the figure below, if the radius of circle.jpg [ 14.67 KiB | Viewed 7324 times ]
Re: GRE Math Challenge #20-radius of circle O is 10
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06 Apr 2020, 10:35
06 Apr 2020, 10:35
Expert Reply
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.
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.
Re: GRE Math Challenge #20-radius of circle O is 10
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16 Aug 2020, 18:33
16 Aug 2020, 18:33
1
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
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
