Difference between revisions of "2004 AIME I Problems/Problem 4"

 
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== Solution ==
 
== Solution ==
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{{solution}}
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The region is the [[inscribe]]d [[circle]] of the [[square]], so the area is <math>\pi</math>, or to the nearest hundreth <math>3.14</math> and so the answer is 314.
  
 
== See also ==
 
== See also ==
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* [[2004 AIME I Problems/Problem 3| Previous problem]]
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* [[2004 AIME I Problems/Problem 5| Next problem]]
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* [[2004 AIME I Problems]]
 
* [[2004 AIME I Problems]]

Revision as of 14:57, 18 August 2006

Problem

A square has sides of length 2. Set $S$is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set $S$ enclose a region whose area to the nearest hundredth is $k.$ Find $100k.$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it. The region is the inscribed circle of the square, so the area is $\pi$, or to the nearest hundreth $3.14$ and so the answer is 314.

See also

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