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Math Help - Centroid of a irregular polygon???????

  1. #1
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    Centroid of a irregular polygon???????



    Known the vertices of an IRREGULAR polygon (x1,y1), (x2,y2), (x3,y3)...... and so on how to find its centroid?

    I tried to divide the polygon into differrent triangles with a common vertex [say (x1,y1)] and finding their centroids,but i cudn't go further... ... what's the next step?........Please help me out.


    Last edited by ragsk; February 20th 2006 at 12:42 AM.
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  2. #2
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    That irregular polygon is a triangle, and the centroid of a triangle is the point where the medians intersect.
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  3. #3
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    Centroid of a polygon with n sides

    what i meant was how to find the centroid of an irregular polygon with n sides..........i shud have mentioned the vertices as (x1,y1),(x2,y2),(x3,y3),.................(xn.yn). sorry for that.............
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  4. #4
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    Quote Originally Posted by ragsk
    what i meant was how to find the centroid of an irregular polygon with n sides..........i shud have mentioned the vertices as (x1,y1),(x2,y2),(x3,y3),.................(xn.yn). sorry for that.............
    I do not know the theorem from geometry which tells how to find centroid of a polygon with a compass and straightedge, if you can tell me I might be able to solve this problem.

    One thing I know that this gets extremely messy, I one did it for a triangle because I was proving a theorem and the algebraic mess was collasal. But that is only for a triangle I do not know if it will get even more extreme over here I hope not.
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