Plane Figures

Dodecagon

Polygon with twelve sides.
  • A dodecagon is a regular dodecagon if all its sides are congruent and if all its interior angles are congruent.
  • A dodecagon has twelve interior angles; if it is a regular dodecagon, each of its interior angles measures 150°.

Formula

The formula to calculate the area A of a regular dodecagon of side length c is:

[latex]\mathit{A}=3c^{2}(2+\sqrt{3})[/latex]

Examples

  • The figure below is a regular dodecagon. The segment a represents its apothem.
    • This is an irregular and non-convex dodecagon:
dodécagone_irrégulier

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