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

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

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New post Updated on: 14 Sep 2017, 02:35
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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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A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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New post 14 Sep 2017, 11:45
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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
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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Re: A circle is inscribed in equilateral triangle XYZ, which is itself  [#permalink]

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New post 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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New post 26 Oct 2018, 19:28
Hello from the GMAT Club BumpBot!

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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