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Distance IN a circle

  1. Jan 10, 2009 #1
    How can I calculate the distance from a random point IN a circle to N points uniformly distributed within the circle? Would the average distance decrease with N?
     
  2. jcsd
  3. Jan 10, 2009 #2

    mathman

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    If the coordinates of the random point and the N points are given, the calculation is simple, but tedious for large N.

    The average distance (for a fixed initial point) would not change with increasing N, although the standard deviation would get smaller.
     
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