Regular Polygons

Calculator and formulas for regular polygons

15+

Polygon Calculators

Area

Calculations

Angle

Functions

Star Forms

Polygons

Regular Polygons

Triangle
Triangle

Equilateral triangle with three equal sides

Square
Square

Regular quadrilateral with four equal sides

Pentagon
Pentagon

Regular pentagon - frequently found in nature

Hexagon
Hexagon

Hexagonal form - like honeycombs

Heptagon
Heptagon

Regular heptagon with complex properties

Octagon
Octagon

Octagonal form - known from stop signs

Nonagon
Nonagon

Regular nonagon with nine equal sides

Decagon
Decagon

Decagonal form with complex mathematical properties

Hendecagon
Hendecagon

Regular hendecagon with eleven equal sides

Dodecagon
Dodecagon

Twelve-sided form - often in clocks and architecture

Hexadecagon
Hexadecagon

Complex polygon with sixteen equal sides

N-Gon
Regular N-Gon

Universal calculator for any regular polygon

Irregular Polygons

Axial Symmetric Pentagon
Axial Symmetric Pentagon

Symmetric pentagon with one axis of reflection

Irregular Hexagon
Irregular Hexagon

Hexagon with different side lengths

Irregular Octagon
Irregular Octagon

Octagon with varying side lengths

Polygon Ring
Regular Polygon Ring

Ring made from regular polygons

Concave Hexagon
Concave Equilateral Hexagon

Inward-curved hexagon

Star-shaped Polygons

Pentagram
Pentagram

Five-pointed star - classic symbol

Hexagram
Hexagram

Six-pointed star - Star of David

Octagram
Octagram

Eight-pointed star with eight spikes

Star of Lakshmi
Star of Lakshmi

Hindu star with eight points

What makes our polygon calculators special?
Precise Mathematics

Exact calculations using trigonometric functions and geometric formulas.

Visual Representation

Graphical display of all polygons with labeled parameters.

Educational Focus

Detailed formulas and mathematical derivations for all calculations.

Related Calculator Categories
2D Geometry
Related Areas
3D Geometry
Quick Access for Common Calculations
Triangle
Square
Hexagon
Pentagram
Mathematical Foundations of Polygons
Geometric Properties

Polygons are closed geometric figures with straight sides. Regular polygons have all sides and angles equal. Our calculators use trigonometric functions and special polygon formulas for precise calculations.

Practical Applications

Polygon calculations are important in architecture, design, mechanical engineering, crystallography and everywhere polygonal forms are used in technical or artistic constructions.