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Area of a Convex Polygon

The coordinates (x1, y1), (x2, y2), (x3, y3), . . . , (xn, yn) of a convex polygon are arranged in the "determinant" below. The coordinates must be taken in counterclockwise order around the polygon, beginning and ending at the same point.

Example:

Find the area of this polygon:    

See also

Area of a regular polygon, analytic geometry

 


  this page updated 28-jul-14
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes