Polygon Calculator

Regular Polygons

A regular polygon has all sides equal and all angles equal. Examples include equilateral triangles, squares, regular pentagons, etc.

Irregular Polygons

An irregular polygon has sides of different lengths and angles of different measures. You can define these by entering the coordinates of each vertex.

Formulas Used

• Area (Regular): ¼ × n × s² × cot(π/n)
• Area (Irregular): Shoelace formula
• Perimeter: Sum of all side lengths
• Interior Angle: (n-2) × 180° / n
• Exterior Angle: 360° / n
• Apothem: s / (2 × tan(π/n))
• Diagonals: n × (n-3) / 2
• Centroid: Average of all vertex coordinates