Coordinate Area Calculator
Calculate polygon area, perimeter, and centroid from vertices.
| Pt | X (m) | Y (m) | |
|---|---|---|---|
| 1 | |||
| 2 | |||
| 3 | |||
| 4 |
Area
12.0000 m²
Perimeter
14.0000 m
Centroid X
2.0000 m
Centroid Y
1.5000 m
Shoelace formula (Gauss area formula) · Points: 4 · Orientation: Counter-clockwise
Area of any polygon from coordinates
Enter boundary coordinates for land plots, irregular rooms, or any polygon. The Shoelace formula calculates exact area and perimeter with a live diagram.
Frequently asked questions
- What is the Shoelace formula?
- The Shoelace formula (Gauss area formula) calculates the area of a polygon from its vertices: Area = ½|Σ(xᵢyᵢ₊₁ - xᵢ₊₁yᵢ)|. It works for any simple (non-self-intersecting) polygon.
- What is the area of an irregular plot of land?
- Survey the boundary coordinates (northing/easting), enter them in order, and this calculator finds the area using the Shoelace formula — the same method used by surveyors.
- What units does this calculator support?
- You can use any unit (metres, feet, etc.) — just be consistent. Select the unit from the dropdown and the results display in that unit for area (unit²) and perimeter (unit).
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