MathDB
2017 Geometry #7: Circumradius of AQR

Source:

February 19, 2017
geometrycircumcircle

Problem Statement

Let ω\omega and Γ\Gamma be circles such that ω\omega is internally tangent to Γ\Gamma at a point PP. Let ABAB be a chord of Γ\Gamma tangent to ω\omega at a point QQ. Let R≠PR\neq P be the second intersection of line PQPQ with Γ\Gamma. If the radius of Γ\Gamma is 1717, the radius of ω\omega is 77, and AQBQ=3\frac{AQ}{BQ}=3, find the circumradius of triangle AQRAQR.
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