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Source: — Problem Solving |

by vittalgmat » Fri Apr 24, 2009 11:07 pm
Nice problem!!.

This problem has 2 steps.
1. find the angle subtended by arc PQ at the center of the circle.
2. using the circle ratios find length of arc PQ.

Step1:
Since PQ || OR, length of arc OP = length of arc QR.
Now arc OP subtends a 35 degree angle at the circumferance.
Hence, arc OP subtends a 70 degree angle at the center of circle.

Similarly arc QR subtends a 70 degree angle at center of circle.
Together, both arcs subtends a 140 degree angle at center.
Total angle in the semicircle is 180.
So arc PQ subtends 180 - 140 = 40 degree angle at center.


Step 2.
We can use this ratio.

circumferance of circle / 360 = length of arc PQ / 40

= pi*18 / 360 = arc PQ/40
Solving arc PQ = 2*PI.


HT helps.
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Re: Real GMAT Q

by iamcste » Sat Apr 25, 2009 2:48 am
Sher1 wrote:Real GMAT questions.
Kindly do not post any real questions here. I guess this is a GMATPREP qtn that may have occured in real exam. I would request to edit areas where you mentioned about real qtn. you may want to instead just mention the qtn as GMATPrep
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by beatthegmat » Sat Apr 25, 2009 7:59 am
I have deleted your document, Sher1. Please DO NOT share real GMAT questions in this community (or anywhere else). This is a violation of GMAC terms, and the GMAC has been known to prosecute people who distribute actual GMAT questions.

Thanks for your help.
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by beatthegmat » Sat Apr 25, 2009 7:59 am
Locking down this thread.
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