Calculatrice d'Aire de Polygone Régulier Gratuite
Calculez l'aire d'un polygone régulier. Trouvez la surface d'un pentagone, hexagone ou tout polygone à n côtés.
Surface
64.9519
Formule
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.
Exemple Résolu
Regular hexagon with side length 5.
- 01Area = (6 × 25) / (4 × tan(pi/6)) = 150 / (4 × 0.5774) ≈ 64.9519
- 02Perimeter = 6 × 5 = 30
- 03Interior angle = (6-2) × 180/6 = 120°
- 04Apothem = 5 / (2 × 0.5774) ≈ 4.3301
Questions Fréquentes
What is a regular polygon?
A regular polygon has all sides equal in length and all interior angles equal. Examples include equilateral triangles, squares, pentagons, and hexagons.
What is the apothem?
The apothem is the distance from the center of the polygon to the midpoint of any side. It is also the radius of the inscribed circle.
How does the interior angle change with more sides?
As the number of sides increases, the interior angle approaches 180 degrees. A triangle has 60°, a square 90°, a pentagon 108°, a hexagon 120°, etc.
Apprendre