Width of Rectangular Hexagon Given Diagonal, Short Length and Inner Width Calculator

Formula Used:

\[ w = w_{Inner} + \sqrt{d^2 - l_{Short}^2} \]

Inner Width of Rectangular Hexagon:

Diagonal of Rectangular Hexagon:

Short Length of Rectangular Hexagon:

Width of Rectangular Hexagon:

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1. What is the Width of Rectangular Hexagon?

The Width of Rectangular Hexagon is the length of shortest side of the rectangle from which the Rectangular Hexagon shape forms. It represents the outer dimension of the hexagon structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = w_{Inner} + \sqrt{d^2 - l_{Short}^2} \]

Where:

\( w \) — Width of Rectangular Hexagon (m)
\( w_{Inner} \) — Inner Width of Rectangular Hexagon (m)
\( d \) — Diagonal of Rectangular Hexagon (m)
\( l_{Short} \) — Short Length of Rectangular Hexagon (m)

Explanation: This formula calculates the total width by adding the inner width to the square root of the difference between the squared diagonal and squared short length.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for geometric design, architectural planning, and engineering applications involving rectangular hexagon structures. It helps in determining the complete dimensions of the shape.

4. Using the Calculator

Tips: Enter all values in meters. Ensure the diagonal is greater than or equal to the short length for valid results. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A rectangular hexagon is a six-sided polygon formed by cutting smaller rectangles from the corners of a larger rectangle, creating a shape with both rectangular and hexagonal properties.

Q2: Why is the square root function used in this formula?
A: The square root function calculates the additional width component derived from the Pythagorean theorem applied to the diagonal and short length measurements.

Q3: What are the measurement units for this calculation?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit of measurement (cm, mm, inches, etc.).

Q4: What happens if the diagonal is shorter than the short length?
A: The calculation would result in a negative value under the square root, which is mathematically invalid. The diagonal must always be equal to or greater than the short length.

Q5: Can this formula be used for other polygon calculations?
A: This specific formula is designed for rectangular hexagons. Other polygon types require different geometric formulas based on their specific properties.