Hexagon Area Calculator

Calculate area, perimeter, and geometric properties of regular hexagons

What is a Regular Hexagon Area Calculator?

A regular hexagon area calculator is a specialized geometric tool that computes the area, perimeter, and various properties of regular hexagons (six-sided polygons with equal sides and angles). Regular hexagons are fundamental shapes in mathematics, engineering, and nature, appearing in honeycomb structures, bolt heads, floor tiles, and architectural designs. This calculator provides precise measurements essential for construction, manufacturing, and educational applications.

Our advanced calculator accepts multiple input methods including side length, apothem (distance from center to side), or diameter. It uses exact mathematical formulas to compute area, perimeter, apothem, circumradius, and interior angles. The tool handles both metric and imperial units, providing comprehensive geometric analysis for professional and academic use.

This calculator is essential for architects designing hexagonal patterns, engineers calculating material requirements, students learning polygon geometry, manufacturers producing hexagonal components, and craftspeople creating hexagonal designs. Accurate hexagon calculations ensure proper fit, optimal material usage, and precise geometric relationships in various applications.

Measurement Input

Side, apothem, or diameter

Geometric Analysis

Mathematical precision

Complete Properties

Area, perimeter, angles

Hexagon Specifications

Side
Enter the length of one side
Area
0
cm²
Total area enclosed by the hexagon.
Perimeter
0
cm
Total length around the hexagon boundary.
Side Length
0
cm
Length of each side of the regular hexagon.

Geometric Properties

Apothem
0
center to side distance
Circumradius
0
center to vertex distance
Interior Angle
120°
each internal angle

Hexagon Formulas & Mathematical References

Area Calculation Formulas

Area from Side Length:
A = 3√32 × s2

Where A = area, s = side length. Most common formula for regular hexagon area calculation.

Area from Apothem:
A = 2√3 × a2

Where a = apothem. Alternative calculation when apothem is known.

General Polygon Area:
A = 12 × P × a

Where P = perimeter, a = apothem. Universal formula for regular polygons.

Geometric Relationships

Perimeter:
P = 6 × s

Simple multiplication: 6 sides × side length.

Apothem from Side:
a = s√32

Relationship between side length and apothem in regular hexagon.

Circumradius:
R = s

In regular hexagon, circumradius equals side length.

Mathematical References

Euclidean Geometry

Classical geometric principles governing regular polygon properties and calculations.

Wolfram MathWorld
Polygon Mathematics

Comprehensive treatment of regular polygon formulas and geometric relationships.

Khan Academy Geometry
Engineering Mathematics

Applied geometric calculations for engineering and construction applications.

Engineering ToolBox

Calculation Methodology

Regular Hexagon Properties:

All sides equal, all interior angles = 120°, can be divided into 6 equilateral triangles.

Precision:

Calculations use exact mathematical constants (√3 ≈ 1.732050808) for maximum accuracy.

Unit Conversions:

Imperial measurements converted to metric for calculation, then converted back for display.

Applications:

Used in architecture, engineering, manufacturing, crystallography, and biological structures.