Regular polygons calculator
Online calculator and formulas for calculating regular polygons with n vertices
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.
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Formulas for a regular polygon (n-gon)
Perimeter(\(\small{P}\))
\(\displaystyle P = a · n \)
Area (\(\small{A}\))
\(\displaystyle A =\frac{n}{4} · cot\left(\frac{180}{n}\right) · a^2 \)
Circumcircle radius (\(\small{r_c}\))
\(\displaystyle ra = \frac{1}{2} ·csc\left(\frac{180}{n} \right) ·a\)
Incicle radius (\(\small{r_i}\))
\(\displaystyle ra = \frac{1}{2} ·cot\left(\frac{180}{n} \right) ·a\)
Inside angle (\(\small{α}\))
\(\displaystyle \alpha = \frac{180 · (n-2)}{n}\)
More polygons
Triangle • Square • Pentagon • Hexagon • Heptagon • Octagon • Nonagon • Decagon • Hendecagon • Dodecagon • Hexadecagon • N-Gon • Polygon ring • Concave hexagon • Axial Symmetric Pentagon • Irregular, stretched Hexagon • Irregular, stretched Octagon • Pentagram • Hexagram • Octagram • Star of Lakshmi
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