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# In the figure below, Q is a point on the circle whose centre is O and

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Math Expert
Joined: 02 Sep 2009
Posts: 51223
In the figure below, Q is a point on the circle whose centre is O and  [#permalink]

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26 Jun 2018, 03:53
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Difficulty:

25% (medium)

Question Stats:

78% (01:15) correct 22% (02:10) wrong based on 30 sessions

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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 $$\frac{r ^2}{\pi}$$

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

E Cannot be determined from given information

Attachment:

figure 7.jpg [ 15.14 KiB | Viewed 313 times ]

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Re: In the figure below, Q is a point on the circle whose centre is O and  [#permalink]

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26 Jun 2018, 04:03

Solution

Given:
• Q is a point on the circle whose centre is O and whose radius is r
• OPQR is a rectangle

To find:
• The length of diagonal PR

Approach and Working:
As OPQR is a rectangle, the length of the diagonals of OPQR will be same
• OQ = PR

Q is a point on the circumference of the circle, hence, OQ = radius = r
• Therefore, PR = r

Hence, the correct answer is option A.

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Re: In the figure below, Q is a point on the circle whose centre is O and &nbs [#permalink] 26 Jun 2018, 04:03
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