The Area Of A Hexagon Calculator

A regular hexagon splits into six equilateral triangles, which makes its area a short formula involving the square root of three. One side length is enough to find everything else.

What you knowPick the measurement you actually have, not the one you wish you had.Side lengthThe length of one side. All six sides of a regular hexagon are equal.ApothemThe centre to side distance. Used when the method is set to apothem.

Area

93.5307

Perimeter: 36
Apothem: 5.1962
Circumradius: 6
Area of the circumscribed circle: 113.0973

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

The formula this calculator uses

A = 1.5 x sqrt(3) x s^2, or A = 0.5 x perimeter x apothem

A: The area of the hexagon
s: The side length of the regular hexagon
apothem: The distance from the centre to the middle of a side
perimeter: Six times the side length

How to check the result by hand

1
Confirm the hexagon is regular
The formula only applies when all six sides are equal. An irregular hexagon has to be divided into triangles and handled piece by piece.
2
Square the side length
With a side of 6, the square is 36. The area scales with the square of the side, so doubling the side multiplies the area by four.
3
Multiply by the constant
1.5 times 1.7320508 is 2.5980762, and 2.5980762 times 36 is 93.5307. This is the area in the same square units as the side.
4
Cross-check with the apothem
The apothem is 0.8660254 times 6, which is 5.1962. Half the perimeter times the apothem is 18 times 5.1962, giving the same 93.5307.

For worked examples, common mistakes and the limits of this formula, read the full How To Calculate The Area Of A Hexagon page.