Hexagon Calculator
Calculate all properties of a regular hexagon from its side length. This tool instantly computes the area, perimeter, apothem, long diagonal, and short diagonal of any regular hexagon.
A regular hexagon has six equal sides and six equal interior angles of 120 degrees each. It is one of only three regular polygons that can tile a plane without gaps (along with the equilateral triangle and square), making it extremely common in nature and engineering.
Regular Hexagon Formulas (side length = s):
- Area: A = (3 x sqrt(3) / 2) x s^2
- Perimeter: P = 6s
- Apothem: a = s x sqrt(3) / 2
- Long Diagonal: d = 2s (passes through center)
- Short Diagonal: d = s x sqrt(3) (connects vertices one apart)
The hexagon can be divided into six equilateral triangles, which is why its area equals six times the area of an equilateral triangle with the same side length. The apothem is the height of each of these triangles.
Hexagons appear in honeycomb structures, bolt heads, floor tiles, graphene molecular structure, basalt columns (like Giant's Causeway), and board games. Their efficient packing makes them optimal for many engineering and natural applications.