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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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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.

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

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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 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

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