Regular polygons calculator

Online calculator and formulas for calculating regular polygons with n vertices

Regular polygon online calculator


This function calculates various parameters of a regular polygon.

To perform the calculation, select the required parameter in the menu and enter its value and the number of vertices. Then click the 'Calculate' button.

Regular polygon calculator

 Input
Argument type
Argument value
Number of vertices
Decimal places
 Results
Edge length a
Perimeter P
Area A
Incircle radius ri
Circumcircle radius ra


Pentagon mit Ringe

Formulas for a regular polygon (n-gon)

Perimeter \(P\)

\(\displaystyle P = a · n \)

Area \(A\)

\(\displaystyle A =\frac{n}{4} · cot\left(\frac{180}{n}\right) · a^2 \)

Circumcircle radius \(ra\)

\(\displaystyle ra = \frac{1}{2} ·csc\left(\frac{180}{n} \right) ·a\)

Incicle radius \(ri\)

\(\displaystyle ra = \frac{1}{2} ·cot\left(\frac{180}{n} \right) ·a\)
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