Hexagon Calculator
Enter a side length below to instantly get the area and perimeter of a regular hexagon.
Regular Hexagon Formulas
Area = (3√3 / 2)s². Perimeter = 6s.
A common mistake is applying the ×6 perimeter multiplier when the goal is area, or forgetting that the side length gets squared. Because area scales with s², doubling the side length doesn't double the area — it quadruples it, the same way it does for any flat shape measured in two dimensions.
Worked example
A regular hexagon with side length 5.
Area = (3√3 / 2) × 5² = (3 × 1.732 / 2) × 25 ≈ 64.95
Perimeter = 6 × 5 = 30
A second example, with side length 8.
Area = (3√3 / 2) × 8² = (3 × 1.732 / 2) × 64 ≈ 166.28
Perimeter = 6 × 8 = 48
Keep going
- A regular hexagon's perimeter is just six times its side length; the perimeter calculator covers that alongside rectangles, triangles, and circles. Perimeter Calculator
Frequently Asked Questions
What is the formula for the area of a regular hexagon?
Area = (3√3 / 2) × s², where s is the side length. This comes from splitting the hexagon into 6 equilateral triangles.
What is the formula for the perimeter of a regular hexagon?
Perimeter = 6 × s, since a regular hexagon has six equal sides.
Does this work for irregular hexagons?
No — these formulas assume a regular hexagon, where all six sides and all six interior angles are equal. An irregular hexagon needs its own side-by-side breakdown, usually by splitting it into triangles.
What is the interior angle of a regular hexagon?
120°. The sum of interior angles in any hexagon is (n − 2) × 180° = 4 × 180° = 720°, and a regular hexagon splits that total evenly across its six equal angles: 720° / 6 = 120°.
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