Regelmäßiges-Vieleck-Flächenrechner — Formel
## 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.
### 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.
Lösungsbeispiel
Regular hexagon with side length 5.
- Area = (6 × 25) / (4 × tan(pi/6)) = 150 / (4 × 0.5774) ≈ 64.9519
- Perimeter = 6 × 5 = 30
- Interior angle = (6-2) × 180/6 = 120°
- Apothem = 5 / (2 × 0.5774) ≈ 4.3301