Regular Polygon Area Calculator
Calculate the area, perimeter, and interior angle of a regular polygon given the number of sides and side length.
क्षेत्रफल
64.9519
सूत्र
## 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.
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
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.
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