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

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

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New post 23 May 2017, 12:20
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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?
Image


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


Attachment:
yksjsV8.png
yksjsV8.png [ 3.73 KiB | Viewed 898 times ]
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Re: If a circle has the same area as right triangle PQR shown in the figur  [#permalink]

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New post 23 May 2017, 12:55
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?
Image


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 = \(\pi r^2 = 24\);

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

\(r < 3\).

Answer: A.
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Re: If a circle has the same area as right triangle PQR shown in the figur   [#permalink] 23 May 2017, 12:55
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If a circle has the same area as right triangle PQR shown in the figur

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