Dodecagon Calculator

Your details

Choose which known measurement to enter; all others are computed from it.
Length of one of the twelve equal edges.
cm
Area
279.9038cm²
Perimeter60cm
Side length5cm
Apothem (inradius r)9.3301cm
Circumradius R9.6593cm
Diagonal across 2 sides (d2)9.6593cm
Diagonal across 3 sides (d3)13.6603cm
Diagonal across 4 sides (d4)16.7303cm
Diagonal across 5 sides (d5)18.6603cm
Longest diagonal across 6 sides (d6)19.3185cm
Incircle area273.4796cm²
Circumcircle area293.1146cm²

This regular dodecagon has an area of 279.9 cm² and a perimeter of 60 cm.

  • Every interior angle is 150°; all twelve sum to 1800°. The exterior angle is 30°.
  • A regular dodecagon has 54 diagonals (12 × 9 / 2). They fall into five distinct lengths, from 9.66 cm (shortest) to 19.32 cm (longest, passing through the centre).
  • The incircle has area 273.48 cm²; the circumcircle has area 293.11 cm². The dodecagon fills 95.5% of its circumcircle.
  • Area scales as the square of side: doubling the side (5 cm) quadruples the area, while the perimeter only doubles.

Next stepSwitch the "Solve from" dropdown to work backwards from any known measurement, such as a required area or a given radius.

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