How to Use the Polygon Area from Coordinates Calculator
When the corners of a parcel are known as coordinates, the area can be computed directly without breaking the shape into triangles. Enter the boundary points in order and this calculator applies the shoelace formula, also known as the coordinate or double meridian distance method, returning square feet, acres, square meters and the perimeter of the traverse.
The shoelace formula cross-multiplies the coordinates of each pair of adjacent points, sums the results and takes half the absolute value. Because no subdivision is needed, it handles irregular parcels with many corners just as easily as a simple rectangle, which is why it is the standard closure computation in survey software.
Points have to be listed in order around the boundary, either clockwise or counterclockwise, but consistently in one direction. Jumping between corners makes the sides cross and produces an area smaller than the real one. The polygon closes automatically from the last point back to the first, so the starting coordinate does not need to be repeated at the end.
Swapping the X and Y columns flips the sign of the sum but not the magnitude, so the reported area stays the same. Keep in mind that a recorded parcel area comes from the coordinates of record and the rounding rules of the governing jurisdiction, so use a licensed surveyor plat when a legally binding area is required.
Frequently Asked Questions
Yes. The points must run around the boundary in one consistent direction, clockwise or counterclockwise. Listing corners out of order makes the sides cross each other and returns an area smaller than the true one.
No. The calculator closes the figure automatically from the last point back to the first. Repeating the first coordinate at the bottom simply raises the point count while returning the same area.