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Length of Minor arc given internal angle - GmatPrep

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Length of Minor arc given internal angle - GmatPrep [#permalink] New post 13 Dec 2009, 11:49
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50% (00:00) correct 50% (04:17) wrong based on 14 sessions
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Got the following question. Wondering how to solve it



[Reveal] Spoiler:
A

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Re: Length of Minor arc given internal angle - GmatPrep [#permalink] New post 13 Dec 2009, 12:05
msunny wrote:
Got the following question. Wondering how to solve it



[Reveal] Spoiler:
A


Lets say the circle has center C
PCO angle = 70 (by definition since PRO = 35)
Since lines are parallel QCR also has 70
OR = 180

70 + 70 + 180 = 320 therefore PCQ = 40 degrees

circumference = 18pi

40/360 * 18pi = 2pi
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Re: Length of Minor arc given internal angle - GmatPrep [#permalink] New post 16 Dec 2009, 23:34
Hi lagomez,
when two lines are parallel and there are two transversals cuttting them, then it doesn't necessarily mean that the angles should be equal i.e. anlge PCO is not necessary equal to angle PRO.

My method was :
Let C be the centre of circle
Consider triangle CPR, since CP=CR(radius), angle CPR=angle CRP=35
which means that angle CPQ=70

Consider triangle CPQ.
Since CP=CQ=radius, angle CPQ=ANGLE CQP=70
Therefor,angle PCQ=180-140=40

Hence, length of minor arc PQ=9*(40pi/180)=2pi




lagomez wrote:
msunny wrote:
Got the following question. Wondering how to solve it



[Reveal] Spoiler:
A


Lets say the circle has center C
PCO angle = 70 (by definition since PRO = 35)
Since lines are parallel QCR also has 70
OR = 180

70 + 70 + 180 = 320 therefore PCQ = 40 degrees

circumference = 18pi

40/360 * 18pi = 2pi
Re: Length of Minor arc given internal angle - GmatPrep   [#permalink] 16 Dec 2009, 23:34
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Length of Minor arc given internal angle - GmatPrep

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