Length Of Rectangular Hexagon Given Diagonal, Inner Length And Short Width Calculator

Formula Used:

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

Inner Length of Rectangular Hexagon:

Diagonal of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

Length of Rectangular Hexagon:

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1. What is the Length of Rectangular Hexagon?

The Length of Rectangular Hexagon is the length of the longest side of the rectangle from which the Rectangular Hexagon shape forms. It is a key geometric parameter in determining the overall dimensions of this particular hexagonal shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

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

3. Importance of Length Calculation

Details: Accurate length calculation is crucial for geometric construction, architectural design, and engineering applications involving rectangular hexagon shapes. It helps determine the overall dimensions and proportions of the structure.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the diagonal value is greater than the short width value to avoid mathematical errors (square root of negative number). All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing a smaller rectangular portion from a larger rectangle, resulting in a six-sided polygon.

Q2: Why is the square root function used in this formula?
A: The square root function is used to calculate the length component derived from the Pythagorean theorem applied to the right triangle formed by the diagonal and short width.

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 short width is greater than the diagonal?
A: The formula would attempt to calculate the square root of a negative number, which is mathematically invalid. The diagonal must always be greater than the short width.

Q5: Can this calculator be used for other polygon shapes?
A: No, this specific formula and calculator are designed specifically for Rectangular Hexagon shapes with the given parameters.