Given Co-ordinates of vertices of polygon, Area of Polygon can be calculated using **Shoelace formula** described by Mathematician and Physicist **Carl Friedrich Gauss** where polygon vertices are described by their Cartesian coordinates in the Cartesian plane. This takes O(N) multiplications to calculate the area where N is the number of vertices.

**Read this article to understand Area of Polygon: Shoelace formula in depth**

**Have a doubt or thought? Join the discussion now**

This is a companion discussion topic for the original entry at http://iq.opengenus.org/area-of-polygon-shoelace/