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# What is the circumference of the circle above? (1) The

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Senior Manager
Joined: 16 Jan 2009
Posts: 349
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
What is the circumference of the circle above? (1) The [#permalink]

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24 Jun 2009, 03:05
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100% (00:01) correct 0% (00:00) wrong based on 8 sessions

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What is the circumference of the circle above?
(1) The length of arc XYZ is 18.
(2) r = s

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Lahoosaher

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Joined: 30 May 2009
Posts: 212
Re: DS : Geometry [#permalink]

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24 Jun 2009, 19:09
1
KUDOS
What is the circumference of the circle above?
(1) The length of arc XYZ is 18. - INSUFF. We know just the length, but we don't know how this length relates to the circumference of the circle. Neither do we know what angle is intercepted by this arc at the center/or on the circle.

(2) r = s . INSUFF. This just tells that the triangle is equilateral. Hence the angle subtended by the arc is 60. But does not tell anything about the length of the arc to deduce the radius of the circle.

Combine (1) and (2)

We know angle subtended by arc = 90L/(pi)R (where L = lenght of the arc and R is the radius)
=> 60 = 90X18/(pi)R

We can easily find R and hence cirumference. I would go with (C)
What is the OA?
Senior Manager
Joined: 16 Jan 2009
Posts: 349
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Re: DS : Geometry [#permalink]

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24 Jun 2009, 19:13
OA is
[Reveal] Spoiler:
C

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

Lahoosaher

Re: DS : Geometry   [#permalink] 24 Jun 2009, 19:13
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# What is the circumference of the circle above? (1) The

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