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Height of Hexagon Given Area Calculator

Height of Hexagon Formula:

\[ h = \sqrt{\frac{2}{\sqrt{3}} \times A} \]

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1. What is the Height of Hexagon Formula?

The Height of Hexagon formula calculates the vertical height of a regular hexagon given its area. For a regular hexagon, the height is the perpendicular distance between two parallel sides.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \sqrt{\frac{2}{\sqrt{3}} \times A} \]

Where:

Explanation: The formula derives from the relationship between the area of a regular hexagon and its geometric properties, using the mathematical constant √3.

3. Importance of Height Calculation

Details: Calculating the height of a hexagon is important in various fields including architecture, engineering, and design where hexagonal shapes are used. It helps in determining spatial requirements and structural dimensions.

4. Using the Calculator

Tips: Enter the area of the hexagon in square meters. The value must be positive and greater than zero for accurate calculation.

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).

Q2: How is the area of a hexagon related to its height?
A: For a regular hexagon, the area and height have a specific mathematical relationship that allows calculation of one from the other using the formula provided.

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

Q4: What are practical applications of hexagon height calculation?
A: Applications include architectural design, mechanical engineering, material science, and any field where hexagonal patterns or structures are used.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for regular hexagons, with accuracy depending on the precision of the input area value.

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