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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (lShort):

Inner Width of Rectangular Hexagon (wInner):

Short Width of Rectangular Hexagon (wShort):

Inner Length of Rectangular Hexagon (lInner):

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1. What is the Inner Length of Rectangular Hexagon?

The Inner Length of Rectangular Hexagon is the length of the inner edge which is parallel to the length of the Rectangular Hexagon. It is an important geometric parameter used in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the inner length by subtracting the area contribution of the short rectangular portion from the total area, then dividing by the short width and subtracting the short length.

3. Importance of Inner Length Calculation

Details: Accurate calculation of the inner length is crucial for determining the complete geometric properties of rectangular hexagons, which are commonly used in structural design, manufacturing, and various engineering applications.

4. Using the Calculator

Tips: Enter all values in meters and square meters. Ensure all values are positive and the short 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 typically used?
A: This calculation is commonly used in structural engineering, architecture, and manufacturing where rectangular hexagon shapes are employed.

Q3: What units should be used for input values?
A: All length measurements should be in consistent units (typically meters), 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.

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