Regular Hexagon Area Formula
For a regular hexagon (6 equal sides and angles) with side length s, the area A is calculated as:
A = (3√3 × s²) ÷ 2
Steps for Calculation
- Measure side length (s): Ensure all sides are equal (regular hexagon)
- Square the side length: Compute s²
- Multiply by 3√3: Calculate 3 × √3 ≈ 3 × 1.732 = 5.196
- Divide by 2: Finalize the computation
Worked Example
Given s = 5 units:
- s² = 25
- 3√3 × s² = 5.196 × 25 = 129.9
- A = 129.9 ÷ 2 = 64.95 square units
Key Notes
- Applies only to regular hexagons (equal sides and internal angles of 120°)
- Derived from splitting the hexagon into six equilateral triangles
- Accuracy requires precise measurement of s and correct √3 approximation
