Regular Polygon Ring calculator and formula

This function calculates various parameters of a regular polygon ring.

To calculate, enter the side lengths and the number of corners. Then click on the 'Calculate' button.

Polygon ring calculator

Input

Outer edge length a

Inner edge length b

Number of vertices n

Decimal places

Results

Perimeter P

Area A

Thickness at vertices c

Thickness at edges d

Formulas for the regular polygon ring

Perimeter

\(\displaystyle P = (a + b) · n \)

Area

\(\displaystyle A = \frac{n·(a^2-b^2)}{4·\displaystyle tan\left(\frac{π}{n}\right)} \)

Thickness at vertices

\(\displaystyle c = \frac{a-b}{2·\displaystyle sin\left(\frac{π}{n}\right)} \)

Thickness at edges

\(\displaystyle d = \frac{a-b}{2·\displaystyle tan\left(\frac{π}{n}\right)} \)

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