Polygon Calculator - Multi-Tools

Polygon Calculator

Calculate properties of regular and irregular polygons including area, perimeter, angles, and more.

Different formulas are used for regular and irregular polygons:

Area: A = (n × s² × cot(π/n))/4

Perimeter: P = n × s

Interior Angle: θ = (n-2) × 180°/n

Exterior Angle: φ = 360°/n

Area: A = ½|Σ(xᵢyᵢ₊₁ - xᵢ₊₁yᵢ)|

Perimeter: P = Σ√((xᵢ₊₁-xᵢ)² + (yᵢ₊₁-yᵢ)²)

Centroid: (Σxᵢ/n, Σyᵢ/n)

Note: For regular polygons, all sides and angles are equal. For irregular polygons, you need to specify the coordinates of each vertex.

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