How do you calculate the area of a polygon using the coordinates of its vertices?

Answer 1

James Johnson

To calculate the area of a polygon using the coordinates of its vertices, apply the Shoelace formula. For a polygon with vertices (x1, y1), (x2, y2), …, (xn, yn), the area A is given by: A = 0.5 * | Σ (xi * yi+1 – xi+1 * yi) |, where the summation is from i = 1 to n, and (xn+1, yn+1) is (x1, y1).