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

Formula Used:

\[ l_{Short} = \sqrt{d^2 - \left(\frac{P}{2} - l - w_{Inner}\right)^2} \]

Diagonal of Rectangular Hexagon (d):

Perimeter of Rectangular Hexagon (P):

Length of Rectangular Hexagon (l):

Inner Width of Rectangular Hexagon (w_Inner):

Short Length of Rectangular Hexagon (l_Short):

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1. What is Short Length of Rectangular Hexagon?

Short Length of Rectangular Hexagon is the remaining length of the rectangle length from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It is an important geometric parameter in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

\[ l_{Short} = \sqrt{d^2 - \left(\frac{P}{2} - l - w_{Inner}\right)^2} \]

Where:

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

Explanation: This formula calculates the short length by applying the Pythagorean theorem to the geometric relationships within the rectangular hexagon structure.

3. Importance of Short Length Calculation

Details: Accurate calculation of the short length is crucial for proper geometric modeling, structural analysis, and design optimization of rectangular hexagon shapes in various engineering applications.

4. Using the Calculator

Tips: Enter all values in meters. Ensure all inputs are positive numbers. The diagonal, perimeter, length, and inner width must be valid measurements for accurate results.

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: When is this calculation typically used?
A: This calculation is commonly used in architectural design, mechanical engineering, and geometric modeling where rectangular hexagon shapes are employed.

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

Q4: Are there any limitations to this formula?
A: The formula assumes standard geometric relationships and may not apply to irregular or non-standard rectangular hexagon configurations.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal inputs with up to 4 decimal places for precise calculations.