Hexagon Calculator 2026
Calculate the area, perimeter, apothem, and diagonals of any regular hexagon instantly. Perfect for geometry, architecture, tiling projects, and engineering.
Hexagon Properties
Enter the side length to calculate all geometric properties and dimensions
The length of one edge of the regular hexagon.
Hexagon Results
Area, perimeter, and geometric properties
Enter a side length above and click Calculate Hexagon to see the area, perimeter, and geometric properties.
Regular Hexagon at a Glance
Geometric properties for regular hexagons of common sizes. A regular hexagon can be divided into 6 equilateral triangles, making its area exactly (3√3 / 2) × side².
| Side Length | Area | Perimeter | Apothem | Typical Example |
|---|---|---|---|---|
| 1 cm | 2.598 cm² | 6 cm | 0.866 cm | Nut or bolt head |
| 2 cm | 10.392 cm² | 12 cm | 1.732 cm | Honeycomb cell |
| 5 cm | 64.95 cm² | 30 cm | 4.33 cm | Side table top |
| 10 cm | 259.8 cm² | 60 cm | 8.66 cm | Garden planter |
| 50 cm | 6,495 cm² | 300 cm | 43.3 cm | Small pavilion |
| 100 cm | 25,981 cm² | 600 cm | 86.6 cm | Large stage platform |
Hexagon Properties FAQ
Everything you need to understand regular hexagons, from basic formulas to their unique properties in nature and architecture.
A regular hexagon is a two-dimensional geometric shape with six equal straight sides and six equal interior angles. Each interior angle measures exactly 120 degrees, and the sum of all interior angles is 720 degrees. It is one of the most efficient shapes in nature for tessellation (tiling a surface without gaps).
The area of a regular hexagon can be calculated using the formula A = (3√3 / 2) × a², where ‘a’ is the side length. This formula works because a regular hexagon can be perfectly divided into six equilateral triangles. For example, if the side length is 2, the area is (3√3 / 2) × 4 ≈ 10.39 square units.
The apothem (or inradius) of a regular hexagon is the perpendicular distance from the center to any of its sides. It is calculated as r = (√3 / 2) × a. The apothem is useful for calculating the area using the alternative formula: Area = (1/2) × Perimeter × Apothem.
A hexagon has a total of 9 diagonals. These are divided into two types: 3 “long diagonals” that pass through the center of the hexagon (each with a length of 2a), and 6 “short diagonals” that do not pass through the center (each with a length of √3 × a).
Hexagons are incredibly common in nature—most famously in honeycombs—because they represent the most efficient way to divide a surface into equal-sized regions with the least total perimeter. This means bees use less wax to build their cells while maximizing storage space, making it an optimal structural design.