Area of a Polygon
Using the Shoelace Formula to calculate area of a polygon
As a summary, given the vertices of the polygon , ,, , the area of a polygon is given by this formula:
where the products taken in the directionare given positive signs, and products taken in the directionare given negative signs. E.g. for a polygon with three vertices , the area of the polygon is NOTE: this formula only works fine when the vertices are considered in a counterclockwise direction.