The Length Of The Arc

Level pending

Points A and C are located in the perimeter of a circle. If the circle is centered in point O, and the radius of the circle itself is 50 \sqrt{50} . Point B is located inside the circle so that ∠ A B C = 9 0 o \angle ABC = 90^o , with AB = 6, and BC = 2. If the length of OB is p \sqrt{p} , what is the value of p p ?


The answer is 26.

Dani Natanael by Dani Natanael , 24, Indonesia

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1 solution

Jon Haussmann
May 9, 2014

This is from 1983 AIME .

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