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In the figure above, FGHI is inscribed in the circle with center J. Wh

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In the figure above, FGHI is inscribed in the circle with center J. Wh  [#permalink]

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New post Updated on: 20 Dec 2018, 05:24
1
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A
B
C
D
E

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  55% (hard)

Question Stats:

58% (01:31) correct 42% (01:26) wrong based on 89 sessions

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In the figure above, FGHI is inscribed in the circle with center J. What is the ratio of the area of FGHI to the area of the circle?

(1) FGHI is a square.
(2) The area of the circle is 8π.

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Originally posted by SajjadAhmad on 17 Mar 2017, 02:28.
Last edited by SajjadAhmad on 20 Dec 2018, 05:24, edited 1 time in total.
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Re: In the figure above, FGHI is inscribed in the circle with center J. Wh  [#permalink]

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New post 17 Mar 2017, 07:40
SajjadAhmad wrote:
In the figure above, FGHI is inscribed in the circle with center J. What is the ratio of the area of FGHI to the area of the circle?

(1) FGHI is a square.
(2) The area of the circle is 8π.



(1) let radius be a ,then side of sq will be a√ 2 (below fig.)
area of sq = (a√ 2)^2
area of circle =πa^2
thus ratio = 2a^2/ πa^2 = 2/π
suff

(2) clearly insuff

Ans A
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Re: In the figure above, FGHI is inscribed in the circle with center J. Wh  [#permalink]

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New post 21 Dec 2018, 03:10
Answer has to be option D .As using option B also we get an unique Ans.

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In the figure above, FGHI is inscribed in the circle with center J. Wh  [#permalink]

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New post 23 Dec 2018, 07:08
sandeep211986

first option is discussed above about how we can prove it crct

second option is insufficient because they didn't mention if the quadrilateral is square or rectangle. We should not come to conclusion that second option is suff beacuse it is square. It can be square or rectangle so data is insufficient.
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In the figure above, FGHI is inscribed in the circle with center J. Wh   [#permalink] 23 Dec 2018, 07:08
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In the figure above, FGHI is inscribed in the circle with center J. Wh

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