Dodecagon

A dodecagon

A dodecagon or 12-gon is a shape with 12 sides and 12 corners.

Regular dodecagon

All sides of a regular dodecagon are the same length. Each corner is 150°. All corners added together equal 1800°.

Area

The amount of space a regular dodecagon takes up is

$\begin{array}{cc}A& =3\cot \left(\frac{\pi }{12}\right)a^2=3(2+\sqrt{3})a^2\\ & \approx 11,19615a^2.\end{array}$

The variable A represents the area, and the variable a represents the apothem.

Perimeter

The perimeter of a regular dodecagon is

$\begin{array}{c}P=12s\end{array}$

The variable P represents the perimeter, and the variable s represents one side.Template:Math-stub Template:Polygons