Polygon Area from Vertex Coordinates
Use vertices in boundary order find area and perimeter of simple polygon.
Your numbers
Area
Vertices must follow boundary of polygon wey no cross itself. Crossings no count as filled unions.
Compare scenarios
You fit keep up to three snapshots for this tab. Loading one go replace the present inputs.
Formula
Use A = abs[Σ(xᵢyᵢ₊₁−xᵢ₊₁yᵢ)]/2. (xᵢ,yᵢ) na vertices in boundary order; di last vertex connect back to di first. abs mean absolute value. All coordinates need di same length unit.
Use vertices in boundary order find area and perimeter of simple polygon.
Example wey show the calculation
- x,y coordinate pairs in boundary order (m)
- 0, 0 4, 0 0, 3
- Area
- 6 m²
- Perimeter
- 12 m
Where e fit work and limits
Vertices must follow boundary of polygon wey no cross itself. Crossings no count as filled unions.
We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.
Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.
Version of di formula: ad48cb631a20 · Example don get check: