Difference between revisions of "2005 AIME II Problems/Problem 11"

 
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== Problem ==
 
== Problem ==
A semicircle with diameter <math>d</math> is contained in a square whose sides have length 8. Given the maximum value of <math>d</math> is <math>m-\sqrt{n</math>}, find <math>m+n</math>.
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A semicircle with diameter <math>d</math> is contained in a square whose sides have length 8. Given the maximum value of <math>d</math> is <math>m-\sqrt{n}</math>, find <math>m+n</math>.
 
== Solution ==
 
== Solution ==
 
== See Also ==
 
== See Also ==
 
*[[2005 AIME II Problems
 
*[[2005 AIME II Problems

Revision as of 11:54, 5 July 2006

Problem

A semicircle with diameter $d$ is contained in a square whose sides have length 8. Given the maximum value of $d$ is $m-\sqrt{n}$, find $m+n$.

Solution

See Also

  • [[2005 AIME II Problems
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