Hexagon Area Calculator
Calculate the area of a hexagon instantly using side length, perimeter and apothem, or long diagonal (for regular hexagons).
How to Find the Area of a Hexagon
A hexagon is a 6-sided polygon. The most common case is a regular hexagon, where all sides and angles are equal. This calculator helps you find area quickly using different known measurements.
1) Using Side Length (Regular Hexagon)
If all six sides are equal and you know one side length s, use:
A = (3√3 / 2) × s²
This is often the fastest method for geometry homework, engineering sketches, and design layouts.
2) Using Perimeter and Apothem
For any polygon with a known apothem, area is:
A = (P × a) / 2
Where:
- P = perimeter of the hexagon
- a = apothem (distance from center to midpoint of a side)
3) Using Long Diagonal (Regular Hexagon)
If you know the long diagonal d (distance between opposite vertices), area can be found by:
A = (3√3 / 8) × d²
This is useful when side length is not directly measured but diagonal is available in drawings or CAD plans.
Step-by-Step: Using This Calculator
- Select the formula method that matches your known values.
- Enter positive numbers in the required fields.
- Add a unit if you want results like cm², m², or in².
- Click Calculate Area to get your answer instantly.
Worked Examples
Example A: Side Length Method
If side length is 8 cm:
A = (3√3 / 2) × 8² = 166.2769 cm² (approximately)
Example B: Perimeter + Apothem Method
If perimeter is 30 m and apothem is 4 m:
A = (30 × 4) / 2 = 60 m²
Example C: Long Diagonal Method
If long diagonal is 10 ft:
A = (3√3 / 8) × 10² = 64.9519 ft² (approximately)
Common Mistakes to Avoid
- Using regular-hexagon formulas for an irregular hexagon.
- Confusing side length with diagonal length.
- Forgetting to square units in final answers (e.g., m², not m).
- Entering negative values—lengths must be positive.
Quick FAQ
Is this calculator only for regular hexagons?
The side-length and diagonal methods are for regular hexagons. The perimeter + apothem method works when those two values are known.
What unit does the result use?
The result is always in square units of whatever unit you entered (for example, cm² or ft²).
Can I use decimals?
Yes. Decimal values are fully supported for all numeric fields.