Regular Hexagon Area
A regular hexagon is six equilateral triangles, so its area is six times theirs. The longest diagonal is exactly twice the side, and the distance across the flats is √3 times the side.
Your numbers
Area
166.28cm²
Perimeter
48cm
Diagonal
16cm
Inradius
6.928cm
Formula
Area = 3 × √3 ÷ 2 × Side length ²
Honeycomb and hex tiles use this shape because it encloses a given area with less perimeter than a square.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Side length (cm)One side of a regular polygon — they are all the same. | 8 | 0 and up |
Step by step
Quick reference table
Results when only Side length (cm) changes and everything else stays put.
| Side length (cm) | Area (cm²) | Perimeter (cm) | Diagonal (cm) |
|---|---|---|---|
| 4 | 41.57 | 24 | 8 |
| 6 | 93.53 | 36 | 12 |
| 8 | 166.28 | 48 | 16 |
| 12 | 374.12 | 72 | 24 |
| 16 | 665.11 | 96 | 32 |
What each result means
| Result | At default values |
|---|---|
| Area (cm²)The space a shape covers — length squared. | 166.28 |
| Perimeter (cm)The total length around the outside of a shape. | 48 |
| Diagonal (cm)Corner to opposite corner. | 16 |
| Inradius (cm)Radius of the circle touching all sides, sitting inside the shape. | 6.928 |
Common mistakes
Honeycomb and hex tiles use this shape because it encloses a given area with less perimeter than a square.
Glossary
- Side length
- One side of a regular polygon — they are all the same.
- Area
- The space a shape covers — length squared.
- Perimeter
- The total length around the outside of a shape.
- Diagonal
- Corner to opposite corner.
- Inradius
- Radius of the circle touching all sides, sitting inside the shape.
Frequently asked questions
Q. How is Regular Hexagon Area calculated?
Area = 3 × √3 ÷ 2 × Side length ² — A regular hexagon is six equilateral triangles, so its area is six times theirs. The longest diagonal is exactly twice the side, and the distance across the flats is √3 times the side.
Q. Can you walk through an example?
With Side length 8cm, the answer is Area 166.28cm².
Q. What do I need to enter?
Enter Side length. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Side length (cm) moves the answer to Side length (cm) 4 → Area (cm²) 41.57 and Side length (cm) 16 → Area (cm²) 665.11. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Honeycomb and hex tiles use this shape because it encloses a given area with less perimeter than a square.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.