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HMMT November 2023 H4

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Let LOVERL O V E R be a convex pentagon such that LOVEL O V E is a rectangle. Given that OV=20O V=20 and LO=L O= VE=RE=RL=23V E=R E=R L=23, compute the radius of the circle passing through R,OR, O, and VV.

Dataset text NuminaMath olympiads. Quoted with source.

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