Math

Dodecagon Calculator

Find the area and perimeter of a regular dodecagon (12 sides).

Calculated Output

Area 179.14

Perimeter 48

Formula: area = 3·(2 + √3)·s²

Step-by-Step Breakdown

1. Values used:

2. Side length = 4

4. Area = 179.14

5. Perimeter = 48

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The math behind it

Its area simplifies to 3(2 + √3)·s², equivalent to the general (n/4)·s²·cot(π/n) with n = 12.

Side 4 → area ≈ 179.14, perimeter 48.

Is a clock face a dodecagon?

Conceptually yes — twelve equally spaced points form the vertices of a regular dodecagon.