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# If a circle has the same area as right triangle PQR shown in the figur

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Manager
Joined: 14 Sep 2015
Posts: 65
Location: India
GMAT 1: 700 Q45 V40
GPA: 3.41
If a circle has the same area as right triangle PQR shown in the figur  [#permalink]

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23 May 2017, 13:20
00:00

Difficulty:

15% (low)

Question Stats:

85% (00:52) correct 15% (00:35) wrong based on 26 sessions

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If a circle has the same area as right triangle PQR shown in the figure above. Which of the following is the closest in value to the radius of the circle?

A. 3
B. 4
C. 5
D. 10
E. 20

Attachment:

yksjsV8.png [ 3.73 KiB | Viewed 577 times ]
Math Expert
Joined: 02 Sep 2009
Posts: 49303
Re: If a circle has the same area as right triangle PQR shown in the figur  [#permalink]

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23 May 2017, 13:55
niteshwaghray wrote:
If a circle has the same area as right triangle PQR shown in the figure above. Which of the following is the closest in value to the radius of the circle?

A. 3
B. 4
C. 5
D. 10
E. 20

Attachment:
yksjsV8.png

Triangle PQR is 6-8-10 right triangle. Its area = 6*8/2 = 24.

Circle area = $$\pi r^2 = 24$$;

$$r^2 = \frac{24}{\pi}\approx 8$$;

$$r < 3$$.

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Re: If a circle has the same area as right triangle PQR shown in the figur &nbs [#permalink] 23 May 2017, 13:55
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