Área Dodecágono Regular
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
3·(2+√3)·l²
About this calculator
The area calculator for a regular dodecagon computes the area of a 12-sided polygon with equal sides. The formula used is 3·(2+√3)·l², where l is the side length. This tool is useful for geometry students, architects, and professionals working with dodecagonal shapes.
To use the calculator, simply enter the side length of the regular dodecagon. The result is given in square units, matching the unit of the side length. The formula derives from decomposing the dodecagon into 12 isosceles triangles, whose total area simplifies to the given expression.
This calculator is suitable for situations such as calculating the area of floors, tiles, or decorative structures with a dodecagonal shape. It is also helpful in geometry problems involving regular polygons, allowing quick verification of exercise or project results.
Important precautions: ensure the dodecagon is regular, meaning all sides and internal angles are equal. The formula does not apply to irregular dodecagons. Also, check that the side length unit is consistent with the desired area unit (e.g., if side is in meters, area will be in square meters).
Frequently asked questions
What is a regular dodecagon?
It is a 12-sided polygon with all sides and interior angles equal. Each interior angle measures 150°.
How is the area formula derived?
The formula 3·(2+√3)·l² is obtained by dividing the dodecagon into 12 identical isosceles triangles and summing their areas.
Can I use this calculator for irregular dodecagons?
No. This calculator is only for regular dodecagons. For irregular ones, a different method is needed.
How accurate is the result?
The result is exact, but may be rounded according to the decimal places set. The formula is mathematically precise.
In which units should I enter the side length?
You can use any unit of length (cm, m, inches, etc.). The area will be in the corresponding square unit.