1. What is a Regular Hexagon?

A regular hexagon is a six-sided polygon where all sides are equal in length and all internal angles are 120 degrees. In a regular hexagon, the radius (distance from center to vertex) equals the side length.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( Radius \) — Distance from center to any vertex
• \( Side \) — Length of any side of the hexagon

Explanation: In a regular hexagon, all sides and all radii are equal, making the radius calculation straightforward.

3. Importance of Hexagon Radius Calculation

Details: Calculating the radius of a hexagon is important in various fields including engineering, architecture, game development, and geometry applications where hexagonal patterns are used.

4. Using the Calculator

Tips: Enter the side length of the regular hexagon. The value must be a positive number. The calculator will return the radius which equals the side length.

5. Frequently Asked Questions (FAQ)

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

Q2: What's the difference between radius and apothem?
A: Radius is the distance from center to vertex, while apothem is the distance from center to the midpoint of a side.

Q3: Can I calculate area from side length?
A: Yes, area = (3√3/2) × side² for a regular hexagon.

Q4: Are there real-world applications of hexagons?
A: Yes, hexagons appear in nature (honeycombs), engineering (bolts), and design (tile patterns).

Q5: What if my hexagon isn't regular?
A: For irregular hexagons, there's no simple formula relating side to radius, and more complex calculations are needed.