Difference between revisions of "2004 AIME I Problems/Problem 10"

 
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== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
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* [[2004 AIME I Problems/Problem 9| Previous problem]]
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* [[2004 AIME I Problems/Problem 11| Next problem]]
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* [[2004 AIME I Problems]]
 
* [[2004 AIME I Problems]]

Revision as of 02:44, 6 November 2006

Problem

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 $m + n.$

Solution

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See also