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Mathmatics-problem on areas

  1. May 17, 2007 #1
    Four circular cardboard pieces each of radius 7cm are placed in such a way that each piece touches two other pieces.Find the area of the encosed by the four pieces.Can anyone help me to solve this problem?
     
  2. jcsd
  3. May 17, 2007 #2

    uart

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    1. Draw a diagram

    2. Join the centers of the 4 circles to form a square.

    3. Look at it and work out what area you need to subtract from the sqaure in order to leave the desired "enclosed area" remaining.
     
  4. May 17, 2007 #3
    Alternatively, it should be pretty obvious that the enclosed area is four times a sector given by a circle circumscribed inside a square.
     
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