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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (lShort):

Inner Width of Rectangular Hexagon (wInner):

Width of Rectangular Hexagon (w):

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 represents one of the key dimensions in determining the complete geometry of a rectangular hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

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)
\( w \) — Width of Rectangular Hexagon (m)

Explanation: This formula calculates the inner length by considering the total area and subtracting the area contribution from the short length and inner width components, then solving for the remaining inner length dimension.

3. Importance of Inner Length Calculation

Details: Accurate calculation of inner length is crucial for geometric modeling, architectural design, and engineering applications involving rectangular hexagon shapes. It helps in determining complete dimensional properties and ensuring proper fit in construction and manufacturing.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the width is greater than the inner width, and all dimensional values are positive numbers. The area must be larger than the product of short length and inner width for valid 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 formula applicable?
A: This formula is specifically designed for calculating the inner length of a rectangular hexagon when you know the total area, short length, inner width, and overall width.

Q3: What units should I use?
A: The calculator uses meters for all length measurements and square meters for area. Ensure consistent units for accurate results.

Q4: What if I get a negative result?
A: A negative result indicates that the input values may be inconsistent or invalid for a rectangular hexagon shape. Verify that the area is sufficient and dimensions are logically consistent.

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