Princeton CAT2 question

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Princeton CAT2 question

by phani.v » Mon May 11, 2009 8:25 pm

Can someone please help to solve the problem attached.
I am getting answer as 1/3,but OA shows 1/4

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by vkokal » Mon May 11, 2009 9:52 pm
Total degree in a semicicrcle in 180

In a Quarter Circle is 90

Now the angle is given as 45 degrees, so the remaining angle too is 45 degrees.

Now the length of arc is 2*pie*angle

For the semicircle it is 2*pie*180 while for the required arc it is 2*pie*45.

The ratio of the two is 1:4 and hence the answer is 1:4