Calculadora de Área de Polígono RegularFórmula

## Regular Polygon Formulas

### Area

**Area = (n × s²) / (4 × tan(pi/n))**

Alternatively: **Area = (1/2) × perimeter × apothem**

### Interior Angle

**Interior angle = (n - 2) × 180 / n** degrees

### Apothem

**Apothem = s / (2 × tan(pi/n))**

The apothem is the distance from the center to the midpoint of a side.

Ejemplo Resuelto

Regular hexagon with side length 5.

  1. Area = (6 × 25) / (4 × tan(pi/6)) = 150 / (4 × 0.5774) ≈ 64.9519
  2. Perimeter = 6 × 5 = 30
  3. Interior angle = (6-2) × 180/6 = 120°
  4. Apothem = 5 / (2 × 0.5774) ≈ 4.3301