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Centroid of a Semicircle

  1. Jul 20, 2009 #1
  2. jcsd
  3. Jul 20, 2009 #2
    The correct answer is 4r/3pi, if what you are after is the average y-coordinate. This can be calculated fairly easily by doing this:

    (1/A) S[y*2sqrt(1-y^2)dy] from 0 to 1.

    I think you are confusing a semicircular area with a semicircular arc. Both appear on the Wikipedia page with centroids. The excerpt you posted clearly refers to the case of a semicircular arc, not an area.
     
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