Ultimate Quant Marathon Blog For IIM CAT

For All Your Quant Queries

Problem Of The Week 17

with 3 comments


Two points are selected randomly on the surface of a sphere of radius R. What is the expected distance between them, along the surface of the sphere?

Problem is simple if you think logically, else you will have issues. This question is taken from teh CAT quant Blog by Suresh, the link of which you can see on the right!

Tipster:  The sum of the two legs of a right angled triangle is equal to sum of diameters of incircle and circumcircle🙂

Written by Implex

September 17, 2008 at 5:45 pm

3 Responses

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  1. we can easily take the two points to be lying on a cirle, and the rest of the sphere can be ignored. so the problem reduces to two points on the perimeter of a cirlce.

    if the two points make an angle theta , then distance= 2*pi*r*theta /360.

    ankit

    September 19, 2008 at 12:52 pm

  2. This is incorrect

    outtimed

    September 20, 2008 at 4:07 am

  3. whtz the answer to this ques ????

    crushkiller

    September 20, 2008 at 6:37 am


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