MathDB
Puerto Rico 2012 TST Problem 5

Source:

April 29, 2012
geometrypower of a pointgeometry proposed

Problem Statement

A point PP is outside of a circle and the distance to the center is 1313. A secant line from PP meets the circle at QQ and RR so that the exterior segment of the secant, PQPQ, is 99 and QRQR is 77. Find the radius of the circle.