Coordinate Area Calculator

Calculate area from ordered x,y coordinate points using the shoelace formula. Estimate polygon area, perimeter, square feet, square yards, square meters, acres, material units, waste, and project cost.

Calculate Area From Coordinates

Enter one point per line as x,y. Points should be listed in order around the boundary of the shape.
Coordinate Area = ½ × |Σ(xᵢyᵢ₊₁ − xᵢ₊₁yᵢ)|. This is also called the shoelace formula.
Your result will appear here.

How the coordinate area calculator works

Coordinate area:
The calculator uses your ordered x,y points and applies the shoelace formula to estimate the enclosed area.

Perimeter:
The calculator measures the distance between each point and adds the boundary lengths together.

Unit conversion:
The calculator converts the coordinate area into square feet, square yards, square meters, acres, and hectares.

Project estimate:
The calculator adds waste, material units, boundary cost, labor cost, and total estimated cost.

Why use a coordinate area calculator?

A coordinate area calculator helps estimate polygon and irregular shape area from measured points, map points, property corners, plot coordinates, landscape layouts, or geometry problems.

It can help calculate area, perimeter, centroid, square feet, square yards, square meters, acres, material quantity, waste, boundary cost, labor cost, and estimated project cost.

What your result means

Your result shows the calculated coordinate area, area with waste, perimeter, square yards, square meters, acres, centroid, material units, material cost, boundary cost, labor cost, and estimated total cost.

Coordinate area formulas

Frequently asked questions

How do I calculate area from coordinates?

Enter the x,y coordinate points in order around the shape. The calculator uses the shoelace formula to calculate the enclosed area.

What order should coordinate points be entered in?

Enter points in clockwise or counterclockwise order around the boundary. Random point order can create crossed lines and incorrect area results.

What is the shoelace formula?

The shoelace formula calculates polygon area from ordered coordinate points by adding cross-products around the shape.

Can this calculator estimate irregular land area?

Yes. If you have boundary points for a lot, field, yard, or irregular shape, you can enter them as coordinates to estimate area and perimeter.

Is this coordinate area calculator exact?

It is exact for the coordinates entered, but real-world estimates can vary by measurement accuracy, point order, boundary curves, slopes, exclusions, and rounding.