Mock AIME 5 2005-2006 Problems/Problem 7
Contents
Problem
A coin of radius is flipped onto an square grid divided into equal squares. Circles are inscribed in of these squares. Let be the probability that, given that the coin lands completely within one of the smaller squares, it also lands completely within one of the circles. Let be the probability that, when flipped onto the grid, the coin lands completely within one of the smaller squares. Let smallest value of such that . Find the value of .
Solution
Solution
See also
Mock AIME 5 2005-2006 (Problems, Source) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |