1. What is Hexagon Side from Diameter?

For a regular hexagon (all sides and angles equal), the side length (s) is exactly half of the diameter (d) of the circumscribed circle. This simple relationship makes it easy to calculate side length when diameter is known.

2. How Does the Calculator Work?

The calculator uses the hexagon side formula:

Where:

• \( s \) — Side length of the hexagon
• \( d \) — Diameter of the circumscribed circle

Explanation: In a regular hexagon, the distance between opposite vertices (diameter) is exactly twice the length of one side.

3. Importance of Hexagon Calculations

Details: Hexagon geometry is important in various fields including engineering, architecture, and design. Knowing side lengths helps in material estimation and structural calculations.

4. Using the Calculator

Tips: Enter the diameter of the circumscribed circle in any length units. The calculator will return the side length in the same units.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for irregular hexagons?
A: No, this formula only applies to regular hexagons where all sides and angles are equal.

Q2: What if I know the side length and need diameter?
A: Simply multiply the side length by 2 to get the diameter (d = 2 × s).

Q3: How is this different from the apothem?
A: The apothem is the distance from center to midpoint of a side, while diameter is distance between opposite vertices.

Q4: Can I use this for 3D hexagonal prisms?
A: This calculates side length of the 2D hexagon face. For prisms, you'd need additional height measurements.

Q5: What are common applications of this calculation?
A: Used in bolt head sizing, honeycomb structures, tile patterns, and mechanical part design.