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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: 14

Kudos [?]: 9 [0], given: 32

WE: Analyst (Consumer Products)
A circle is inscribed in equilateral triangle XYZ, which is itself [#permalink]

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14 Sep 2017, 03:30
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Difficulty:

45% (medium)

Question Stats:

58% (00:52) correct 42% (01:06) wrong based on 52 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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Sep 2017, 03:35, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 9 [0], given: 32

Director
Joined: 25 Feb 2013
Posts: 542

Kudos [?]: 246 [0], given: 33

Location: India
Schools: Mannheim"19 (S)
GPA: 3.82
A circle is inscribed in equilateral triangle XYZ, which is itself [#permalink]

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14 Sep 2017, 12:45
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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 504 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

Kudos [?]: 246 [0], given: 33

Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132595 [0], given: 12326

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

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14 Sep 2017, 22:01
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
_________________

Kudos [?]: 132595 [0], given: 12326

Re: A circle is inscribed in equilateral triangle XYZ, which is itself   [#permalink] 14 Sep 2017, 22:01
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