Hexagon Calculator
Find a regular hexagon's area, perimeter, and long and short diagonals from its side length.
Area
93.5307
Area = (3√3 / 2) × s². A side of 6 gives about 93.53 square units.
Perimeter
36
Long diagonal (2s)
12
Short diagonal (√3·s)
10.3923
Apothem
5.1962
How it works
A regular hexagon has six equal sides and six equal angles. Because all that symmetry pins everything down, one number — the side length — is enough to work out every other measurement.
The area comes from (3√3 / 2) × s², and the perimeter is just six times the side. The long diagonal runs corner to corner and equals 2s; the short diagonal spans two parallel sides and equals √3 × s. The apothem, the distance from the center to a side, is (√3 / 2) × s.
You'll meet this shape everywhere — honeycomb, bolt heads, floor tiles, and hex grids in board games. Enter a side of 6, for instance, and the area lands at about 93.53 square units.
Frequently asked questions
How do I find the area of a regular hexagon?
Use area = (3√3 / 2) × s², where s is the side length. It's the same as splitting the hexagon into six identical equilateral triangles and adding their areas.
What's the difference between the long and short diagonals?
The long diagonal joins two opposite corners and equals 2s. The short diagonal joins two opposite sides (corner to corner across one skipped vertex) and equals √3 × s, roughly 1.732 times the side.
Does this work for irregular hexagons?
No. The formulas here assume a regular hexagon with equal sides and angles. An irregular six-sided shape needs its area found another way, such as splitting it into triangles.