Circle Geometry

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Circle Geometry Empty Circle Geometry

Post  Archis on Thu Mar 26, 2009 4:30 am

The following is an interesting geometry problem from my previous competition:

The radius of circle O is 12 inches and segment AB and CD are tangent to the circle at B and D respectively. AB= 16, and CD= 5 inches. What is OC + OA in inches?

Circle Geometry Circle10

Feel free to post solutions or techniques, where later I will reveal the correct answer.

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Circle Geometry Empty Re: Circle Geometry

Post  Muthu^96 on Sat Jun 13, 2009 3:49 am

This one was pretty easy...

The second you look at this problem, you think of making triangles by adding line segments DO and OB. Now we get two right triangles and we can easily find OA=20 and OC=13 through Pythagorean triplets. So our answer is 20+13=33.

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