Irregular Polygon Area Calculator

Paste x,y vertices in boundary order to calculate irregular polygon area with the shoelace formula, plus perimeter and bounding dimensions.

Vertices in boundary order (x,y)

Use one point per line. The last point is connected back to the first automatically. Self-intersecting polygons can produce misleading shoelace results.

Connected geometry workflow

v10.86 connects broad area, perimeter, volume and surface-area heads with triangle, circle, polygon, coordinate-center and similarity specialists without replacing the established geometry engines.

Use consistent measurements and valid geometric assumptions

Keep linear inputs in a consistent unit, verify that side lengths or coordinate points can form the stated shape, and treat sketches as explanatory unless explicitly marked to scale. Coordinate formulas can become unstable for nearly degenerate shapes, so invalid or nearly collinear inputs are rejected rather than silently returning misleading values.

How to use this Irregular Polygon Area Calculator

Paste x,y vertices in boundary order to calculate irregular polygon area with the shoelace formula, plus perimeter and bounding dimensions.

What this tool calculates

Calculate polygon area and perimeter from ordered coordinate points.

Practical limits

Use consistent dimensions and verify that the chosen geometric model matches the real object. Diagrams and formulas describe ideal mathematical shapes; measurements, irregular boundaries, wall thickness, fill level, and manufacturing tolerances can change real-world results.