Pentagon
\(n = 5, s = 6 \rightarrow A = 61.94\) sq units
Calculatrice de polygone régulier
Calculer l'aire, le périmètre, les angles, l'apothème et le rayon circonscrit des polygones réguliers avec visualisation interactive
Résultats
Entrez les valeurs et cliquez sur Calculer pour voir le résultat.
Theory & Formula
A regular polygon is a polygon with all sides equal in length and all interior angles equal. It can be inscribed in a circle (circumscribed) and has a circle inscribed within it.
Key formulas for a regular n-sided polygon with side length s:
- Perimeter: P = n × s
- Apothem: a = s / (2 × tan(π/n))
- Area: A = (n × s × a) / 2 or A = (n × s²) / (4 × tan(π/n))
- Circumradius: R = s / (2 × sin(π/n))
- Interior angle: ((n - 2) × 180°) / n
- Exterior angle: 360° / n
\(A = \frac{n \times s \times a}{2}\)
Worked Examples
Hexagon
\(n = 6, s = 4 \rightarrow A = 41.57\) sq units