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Circle Not Touching Rectangle Diagonal

2050SpecialistCoordinate GeometryProbability

AIME I · 2004 · Problem 10

A circle of radius 1 is randomly placed in a 15-by-36 rectangle $ ABCD $ so that the circle lies completely within the rectangle. Given that the probability that the circle will not touch diagonal $ AC $ is $ m/n, $ where $ m $ and $ n $ are relatively prime positive integers, find $ m + n. $
0 students attempted0% solvedRating 2050

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