Irregular Polygon Area Calculator

Your details

Choose the unit your coordinates represent. The formula is the same - this just labels the results correctly.
Enter each vertex as "x,y" on its own line, listed in order (clockwise or counter-clockwise). Minimum 3 vertices.
Area
100m²

Polygon area via the Shoelace formula

Perimeter38.8062m
Centroid X5m
Centroid Y5.0667m
Bounding box width10m
Bounding box height12m
Vertex count5
Winding directionCounter-clockwise
Area100
Perimeter38.8062

Area = 100.0000 m2

  • The polygon has 5 vertices and an area of 100.0000 m2.
  • Perimeter is 38.8062 m. Isoperimetric ratio (compactness) is 83.4% (100% would be a circle).
  • The geometric centroid is at (5.0000, 5.0667). For concave polygons the centroid can fall outside the boundary.
  • Vertices were entered in counter-clockwise order. Both orders give the same area.

Next stepTo measure a real land parcel, mark the corners with GPS coordinates (convert latitude/longitude to a projected coordinate system such as UTM first, then use those metre values as x and y).

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