Unlock the power to calculate the area of any irregular polygon with ease using our online tool. Simply input the coordinates of its vertices, and get precise results instantly. Perfect for geometry, surveying, and engineering tasks, our calculator simplifies complex computations for any number of sides.
Formula:
The area of an irregular polygon with n vertices (x1, y1), (x2, y2), ..., (xn, yn) is calculated using the Shoelace Formula (also known as the Surveyor's Formula):
Area = ½ | Σ (xiyi+1 - xi+1yi) |
Where:
- (xi, yi) represents the coordinates of the i-th vertex.
- The summation is performed for i=1 to n, with (xn+1, yn+1) being equivalent to (x1, y1).
- The absolute value ensures a positive area.