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2015-05-18T13:42:37+05:30

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The body covered the perimeter of a semicircle =>
   distance covered = π R = x meter
     =>  Radius = x / π  meters

  The displacement is simply the diameter of the semicircle, from the point of departure to the other end of the diameter.

   magnitude of the displacement = diameter = 2 x / π  meter

   Ratio of distance traveled to magnitude of  displacement =  x /  [ 2x/π ]
                         = π / 2

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