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

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== Problem ==
 
== Problem ==
A square has sides of length 2. Set <math> S  </math>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 <math> S </math> enclose a region whose area to the nearest hundredth is <math> k. </math> Find <math> 100k. </math>
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A square has sides of length 2. Set <math> S  </math> 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 <math> S </math> enclose a region whose area to the nearest hundredth is <math> k. </math> Find <math> 100k. </math>
  
 
== Solution ==
 
== Solution ==

Revision as of 17:12, 4 November 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

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See also

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