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# GRE Math Challenge #10- Q is a point on the circle whose

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GRE Math Challenge #10- Q is a point on the circle whose [#permalink]  06 Sep 2014, 13:16
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73% (00:23) correct 26% (00:25) wrong based on 19 sessions
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figure 7.jpg [ 15.14 KiB | Viewed 1646 times ]

In the figure below, Q is a point on the circle whose centre is O and whose radius is r, and OPQR is a rectangle. What is the length of diagonal PR?

A $$r$$

B $$r ^2$$

C $$r ^2/\pi$$

D $$r \sqrt{2}/\pi$$

E Cannot be determined from given information
[Reveal] Spoiler: OA

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Last edited by sandy on 30 Mar 2018, 03:25, edited 3 times in total.
Edited by Carcass
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Re: GRE Math Challenge #10- Q is a point on the circle whose [#permalink]  29 Mar 2018, 20:34
sandy wrote:
Attachment:
figure 7.jpg

In the figure below, Q is a point on the circle whose centre is O and whose radius is r, and OPQR is a rectangle. What is the length of diagonal PE?

A $$r$$

B $$r ^2$$

C $$r ^2/pi$$

D $$r \sqrt{2}/pi$$

E Cannot be determined from given information

There is a typo in the stem, diagonal PR not PE.
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Re: GRE Math Challenge #10- Q is a point on the circle whose [#permalink]  31 Mar 2018, 21:25
OPQR is a rectangle with diagonals OQ and PR.
the length of diagonal OQ is equal to radius of circle i.e. r.
since the diagonals of rectangles are equal in length , thus
PR=OQ=r.

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Re: GRE Math Challenge #10- Q is a point on the circle whose [#permalink]  23 Jun 2018, 00:21
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sandy wrote:
Attachment:
figure 7.jpg

In the figure below, Q is a point on the circle whose centre is O and whose radius is r, and OPQR is a rectangle. What is the length of diagonal PR?

A $$r$$

B $$r ^2$$

C $$r ^2/\pi$$

D $$r \sqrt{2}/\pi$$

E Cannot be determined from given information

My reasoning for this is since OPQR is a rectangle, OQ=PR and because OQ is also a radius, it can also be referred to as r.
Re: GRE Math Challenge #10- Q is a point on the circle whose   [#permalink] 23 Jun 2018, 00:21
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