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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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marked as duplicate by Rahul, J. M., Gerry Myerson, Zev Chonoles Feb 7 '12 at 2:21

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

You have to know the order of the vertices too, as otherwise there can be multiple answers – Henry Jan 27 '12 at 7:53
There is also Pick's theorem. – Ragib Zaman Jan 27 '12 at 9:08

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).

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