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A Square of Maximum Area

  1. May 26, 2010 #1
    1. The problem statement, all variables and given/known data

    A square of maximum area is inscribed in a semicircle as shown. What percent (rounded to the nearest tenth) of the area of the circle is outside the square?

    qqvqfr.jpg


    2. Relevant equations



    3. The attempt at a solution

    I'm so desperately lost, someone, please help me! :'(

    It would be greatly appreciated if you could!
     
  2. jcsd
  3. May 27, 2010 #2
    Hint: draw some dotted lines from the center of the circle to the points where the square meets the circle.

    Once you do that, you will probably be able to figure out what to do. If you can't, work on it for a bit and then tell us what you've tried and we'll have more help for you.
     
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