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

Formula Used:

\[ l_{Short} = l - \frac{(l \times (\frac{P}{2} - l)) - A}{w_{Inner}} \]

Length of Rectangular Hexagon (l):

Perimeter of Rectangular Hexagon (P):

Area of Rectangular Hexagon (A):

m²

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 from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents the shorter dimension of the resulting hexagonal shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Short} = l - \frac{(l \times (\frac{P}{2} - l)) - A}{w_{Inner}} \]

Where:

\( l_{Short} \) — Short Length of Rectangular Hexagon (m)
\( l \) — Length of Rectangular Hexagon (m)
\( P \) — Perimeter of Rectangular Hexagon (m)
\( A \) — Area of Rectangular Hexagon (m²)
\( w_{Inner} \) — Inner Width of Rectangular Hexagon (m)

Explanation: This formula calculates the short length by considering the geometric relationships between the original rectangle dimensions and the removed rectangular portion.

3. Importance of Short Length Calculation

Details: Calculating the short length is essential for understanding the geometric properties of rectangular hexagons, which are important in various engineering, architectural, and design applications where hexagonal shapes with rectangular characteristics are required.

4. Using the Calculator

Tips: Enter all values in meters and square meters. Ensure all values are positive and the inner width is not zero to avoid division by zero errors.

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 useful?
A: This calculation is useful in architectural design, manufacturing, and engineering applications where hexagonal shapes with specific dimensional constraints are required.

Q3: What units should be used?
A: All length measurements should be in consistent units (meters recommended), and area should be in square units of the same measurement system.

Q4: Are there any limitations to this formula?
A: The formula assumes perfect geometric shapes and may not account for manufacturing tolerances or irregular shapes in real-world applications.

Q5: Can this be used for 3D calculations?
A: This specific formula is for 2D geometric calculations. For 3D applications, additional dimensional considerations would be needed.