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What is the area of the shaded region. (attached diagram: a

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What is the area of the shaded region. (attached diagram: a [#permalink] New post 09 Sep 2010, 10:38
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What is the area of the shaded region. (attached diagram: a triangle with a portion of the circle on one side)

1. Triangle abc is equilateral
2. the length of BC is 16 inches

Given that the answer is C, my question here is can I assume on the GMAT that it is a semicircle on the end of the triangle. Is it possible that the side of a triangle is a chord of the circle? Nothing in the question states it is a semi circle.
[Reveal] Spoiler: OA

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Re: General DS question [#permalink] New post 09 Sep 2010, 10:53
I agree with you, E should be the answer. Where did you see this question?
agnok wrote:
What is the area of the shaded region. (attached diagram: a triangle with a portion of the circle on one side)

1. Triangle abc is equilateral
2. the length of BC is 16 inches

Given that the answer is C, my question here is can I assume on the GMAT that it is a semicircle on the end of the triangle. Is it possible that the side of a triangle is a chord of the circle? Nothing in the question states it is a semi circle.

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Re: General DS question [#permalink] New post 09 Sep 2010, 11:03
I think the question might have intended to tell you that the centre of the circle is C ...in that case (1)+(2) is enough for the answer
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Re: General DS question [#permalink] New post 09 Sep 2010, 11:06
What does the "O" denote on AB ?
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Re: General DS question [#permalink] New post 09 Sep 2010, 11:14
If o is the center of the circle then answer is C because OA and OB are both radii
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Re: General DS question [#permalink] New post 09 Sep 2010, 11:59
Agreed with you all that it is c if I know 0 is the center of the circle. But that is not mentioned anywhere. I typed the question as is in the book -- some learning express book..

So again if I see O I cannot assume it is the center of the circle unless explicitly told.. I this correct?
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Re: General DS question [#permalink] New post 09 Sep 2010, 12:08
agnok wrote:
Agreed with you all that it is c if I know 0 is the center of the circle. But that is not mentioned anywhere. I typed the question as is in the book -- some learning express book..

So again if I see O I cannot assume it is the center of the circle unless explicitly told.. I this correct?


Appears that either the question has insufficient information or incorrect OA.
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Re: General DS question [#permalink] New post 09 Sep 2010, 12:58
The letter O is typically used for the center of a circle, but it's also used for all kinds of other points - the origin in coordinate geometry, for example. Just because you see a point labeled 'O' in the diagram above is not sufficient reason to conclude you're looking at a semicircle. If this were a real GMAT question, they'd either tell you very clearly that the figure included a semicircle, or the answer would be E.
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Re: General DS question [#permalink] New post 10 Sep 2010, 06:19
Thanks all.. I now see that if nothing is mentioned... Do not assume unless a geometric rule exists.
Re: General DS question   [#permalink] 10 Sep 2010, 06:19
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