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# A circle is inscribed in equilateral triangle XYZ, which is itself

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Intern
Joined: 18 Jul 2015
Posts: 18
GMAT 1: 530 Q43 V20
WE: Analyst (Consumer Products)
A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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Updated on: 14 Sep 2017, 02:35
5
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:09) correct 44% (01:19) wrong based on 126 sessions

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A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is $$24\pi$$.
(2) The radius of the larger circle is twice the radius of the smaller circle.

Originally posted by Pritishd on 14 Sep 2017, 02:30.
Last edited by Bunuel on 14 Sep 2017, 02:35, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 25 Feb 2013
Posts: 1217
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GPA: 3.82
A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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14 Sep 2017, 11:45
1
1
Pritishd wrote:
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is $$24\pi$$.
(2) The radius of the larger circle is twice the radius of the smaller circle.

Attachment:

TRIANGLE.jpg [ 95.63 KiB | Viewed 1446 times ]

Statement 1: Provides the area of the larger circle. Hence $$R$$ can be calculated. Sufficient

Statement 2: This statement does not provide any new information so the value of radius of either of the circle cannot be calculated. Hence insufficient

Option A
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Posts: 50543
Re: A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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14 Sep 2017, 21:01
Pritishd wrote:
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is $$24\pi$$.
(2) The radius of the larger circle is twice the radius of the smaller circle.

Similar question: https://gmatclub.com/forum/circle-o-is- ... 96380.html
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Re: A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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26 Oct 2018, 19:28
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A circle is inscribed in equilateral triangle XYZ, which is itself &nbs [#permalink] 26 Oct 2018, 19:28
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# A circle is inscribed in equilateral triangle XYZ, which is itself

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