MathDB
2022 Geo Div 1 P1 (Div 2 P2)

Source:

February 28, 2022
geometry

Problem Statement

A circle has radius 5252 and center OO. Points AA is on the circle, and point PP on OA\overline{OA} satisfies OP=28OP = 28. Point QQ is constructed such that QA=QP=15QA = QP = 15, and point BB is constructed on the circle so that QQ is on OB\overline{OB}. Find QBQB.
Proposed by Justin Hsieh