AIME 2004 #10 - Randomly Placed Circle in Rectangle
Source:
July 31, 2005
AMCAIMEgeometryrectangleprobabilityanalytic geometrygraphing lines
Problem Statement
A circle of radius 1 is randomly placed in a 15-by-36 rectangle so that the circle lies completely within the rectangle. Given that the probability that the circle will not touch diagonal is , where and are relatively prime positive integers. Find .