The Polygon Area tool calculates a non-self-intersecting polygon in XY plane, using the determinant of a multivariate matrix.
The input XY range should define an enclosed area.
This X-Function is capable of calculating the (signed) area of a non-self-intersecting polygon in the plane. Suppose the vertices of the polygon are . The mathematical area can be calculated as:
In the case of a convex polygon, if the vertices are listed sequentially in a counterclockwise direction, the mathematical area of the polygon will be positive; if listed in a clockwise direction, the mathematical area will be negative.
The absolute area of the polygon is calculated as the absolute value of the mathematical area.