Case 1
- Side length
- 6
93.530744
Open with these valuesHexagon Calculator
93.530744units²
Result: 93.530744 units²A regular hexagon is six equilateral triangles around a centre, so its area is 3s²√3 ÷ 2. Enter the side in any length unit and the area comes back squared in it. The long diagonal is exactly twice the side — that is why hexagons tile without gaps.
Worked examples
Case 2
- Side length
- 1
2.598076
Open with these valuesCase 3
- Side length
- 10
259.807621
Open with these valuesHow it's calculated
A = 3 × s² × √3 ÷ 2
- StepMeasure one side — in a regular hexagon all six are equal.
- StepEnter it in any length unit.
- ResultRead the area in the square of that unit.
Reference table
| Side | Exact | Area |
|---|---|---|
| 0.5 | 0.375√3 | 0.649519 |
| 1 | 1.5√3 | 2.598076 |
| 2.5 | 9.375√3 | 16.237976 |
| 6 | 54√3 | 93.530744 |
| 10 | 150√3 | 259.807621 |
Questions
How do you calculate the area of a hexagon?
Multiply the side squared by 3√3 and halve it. A side of 6 gives 54√3, about 93.53 square units.
Why six equilateral triangles?
Lines from the centre to the six corners cut the hexagon into six triangles, each with all sides equal to s. Six times s²√3 ÷ 4 is 3s²√3 ÷ 2.
What are the two diagonals?
The long diagonal, corner to opposite corner, is 2s. The short one, corner to next-but-one, is s√3.
What is the apothem?
The distance from the centre to the middle of a side, s√3 ÷ 2. It is the radius of the circle that fits inside.
Which units does the answer use?
The square of whatever you entered. A side in centimetres gives square centimetres.
Sources and last check
Information, not professional advice.