1. What is the Height of Hexagon Formula?

The height of a regular hexagon can be calculated from its width using the mathematical relationship derived from the geometric properties of equilateral triangles that form the hexagon structure.

2. How Does the Calculator Work?

The calculator uses the height formula:

Where:

• \( h \) — Height of the hexagon (m)
• \( w \) — Width of the hexagon (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: This formula is derived from the fact that a regular hexagon can be divided into six equilateral triangles, and the height represents the vertical distance between parallel sides.

3. Importance of Hexagon Height Calculation

Details: Calculating the height of a hexagon is essential in various fields including architecture, engineering, design, and manufacturing where hexagonal shapes are commonly used in structures, fasteners, and patterns.

4. Using the Calculator

Tips: Enter the width of the hexagon in meters. The value must be positive and greater than zero. The calculator will compute the corresponding height.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular hexagon?
A: A regular hexagon is a six-sided polygon where all sides are equal in length and all interior angles are equal (120 degrees each).

Q2: How is the height related to the side length?
A: For a regular hexagon, the height is equal to the side length multiplied by √3, while the width is equal to twice the side length.

Q3: Can this formula be used for irregular hexagons?
A: No, this formula applies only to regular hexagons where all sides and angles are equal.

Q4: What are common applications of hexagons?
A: Hexagons are used in bolt heads, nuts, honeycomb structures, floor tiles, and various architectural designs due to their efficient packing properties.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect regular hexagons, using the precise value of √3 in the computation.