✨ 2D PLANE GEOMETRY SOLVER

Regular Polygon Area Calculator

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2D Geometry Calculators
A = ½ × n × s × a
Polygon Area
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Formula & Variables

V = ⁴⁄₃ π r³
V = volume of sphere
r = radius of sphere
π ≈ 3.1416 (approx)

Example

Radius = 5 cm
V = ⁴⁄₃ × 3.1416 × 5³
V = ⁴⁄₃ × 3.1416 × 125
V = 523.60 cm³

Understanding Regular Polygon Area Calculator

A regular polygon has equal sides and equal interior angles. Area equals half the perimeter multiplied by the apothem: A = 1/2 × P × a.

Worked Example

For a regular hexagon (n = 6) with side s = 5 cm: apothem a ≈ 4.33 cm, perimeter P = 30 cm, Area = 1/2 × 30 × 4.33 ≈ 64.95 cm².

Common Questions About Regular Polygon Area Calculator

The apothem is the line segment from the center of a regular polygon perpendicular to one of its sides: a = s / [2 × tan(180° / n)].

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