1. What is the Height of Hexagon given Long Diagonal?

The height of a regular hexagon is the vertical distance between its top and bottom edges. Given the long diagonal (the distance between opposite vertices), the height can be calculated using a specific geometric formula.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Hexagon (m)
• \( d_{Long} \) — Long Diagonal of Hexagon (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: This formula derives from the geometric properties of a regular hexagon, where the height is related to the long diagonal through the square root of 3.

3. Importance of Height Calculation

Details: Calculating the height of a hexagon is important in various fields such as architecture, engineering, and design, where hexagonal shapes are commonly used.

4. Using the Calculator

Tips: Enter the long diagonal of the hexagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular hexagon?
A: A regular hexagon is a six-sided polygon with all sides and angles equal.

Q2: How is the long diagonal defined?
A: The long diagonal is the straight line distance between two opposite vertices of the hexagon.

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 practical applications of this calculation?
A: This calculation is useful in construction, manufacturing, and design of hexagonal objects such as nuts, bolts, and architectural elements.

Q5: How accurate is this formula?
A: The formula is mathematically exact for regular hexagons and provides precise results when accurate measurements are input.