Calculations in a simple polygon. A polygon consists of straight edges and at least three vertices. It is simple when the edges don't intersect, so if the polygon isn't crossed. Here the edge lengths as well as the perimeter and area of the polygon can be calculated from the cartesian coordinates. First enter the number of vertices (3 to 30), then the x- and y-coordinate of each vertex. Choose the number of decimal places, then click Calculate. Side 1 runs from vertex 1 to vertex 2, side 2 from vertex 2 to 3, ..., the last side runs from vertex n to 1.

Polygon shape. If this polygon is drawn crossed, then the upper area calculation is incorrect:

Formulas:
Length of edge i = √ ( x_{i+1} - x_{i} )² + ( y_{i+1} - y_{i} )²

x- and y-coordinate determine the position of a point right from and above the origin in the cartesian coordinate system. Edge lengths and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).