Possible Duplicate:
How quickly we forget - basic trig. Calculate the area of a polygon
How to calculate the area of a polygon?
If I know all the vertices of a particular polygon/figure, is there a generalized method/formula to calculate the area?
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$\begingroup$ Duplicate of How to calculate the area of a polygon? and How quickly we forget - basic trig. Calculate the area of a polygon. $\endgroup$– user856Commented Jan 27, 2012 at 7:03
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$\begingroup$ You have to know the order of the vertices too, as otherwise there can be multiple answers $\endgroup$– HenryCommented Jan 27, 2012 at 7:53
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1$\begingroup$ There is also Pick's theorem. $\endgroup$– Ragib ZamanCommented Jan 27, 2012 at 9:08
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1 Answer
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If you know the two-dimensional cartesian coordinates of the vertices of a (non-self-intersecting, but can be non-convex) polygon, the Shoelace method will find its area. (Let me know if that article is not sufficiently clear and I'll try to explain it in more detail).
