Dodecagon (12-gon) calculator and formela

This calculater returns various parameters of a dodecagon (12-gon or twelve-sided polygon).

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

Dodecagon Calculator

Input

Argument Type

Argument Value

Decimal places

Results

Side length a

Perimeter P

Area A

Diagonal d2

Diagonal d3

Diagonal d4

Diagonal d5

Diagonal d6

Inner radius ri

Outer radius rc

Formulas for a Dodecagon

Perimeter \(P\)

\(\displaystyle P = a · 12 \)

Area \(A\)

\(\displaystyle A = 3 · (2+\sqrt{3}) · a^2 \)

Diagonal \(d_2\) (2 corner)

\(\displaystyle d_2= \frac{\sqrt{6}+ \sqrt{2}}{2}·a \)

\(\displaystyle d_2= \frac{d_6}{2} \)

Diagonal \(d_3\) (3 corner)

\(\displaystyle d_3= (\sqrt{3}+1)·a \)

Diagonal \(d_4\) (4 corner)

\(\displaystyle d_4= \frac{3·\sqrt{2} +\sqrt{6}}{2} · a \)

Diagonal \(d_5\) (5 corner)

\(\displaystyle d_5= (2 +\sqrt{3})· a \)

Diagonal \(d_6\) (6 corner)

\(\displaystyle d_6= (\sqrt{2} +\sqrt{6})· a \)

Height \(h\)

\(\displaystyle h=d_5 \)

Inner radius \(ri\)

\(\displaystyle ri=\frac{ d5 }{2} \)

\(\displaystyle ri=\frac{(2 + \sqrt{3}) ·a}{2} \)

Outer radius \(ro\)

\(\displaystyle ri=d_2 \)

\(\displaystyle ri=\frac{ d6 }{2} \)

Dodecagon calculator

Calculate Dodecagon online

Formulas for a Dodecagon

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