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

Formula Used:

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

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

Area of Rectangular Hexagon (A):

m²

Short Length of Rectangular Hexagon (l_Short):

Inner Width of Rectangular Hexagon (w_Inner):

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1. What is Inner Width of Rectangular Hexagon?

The Inner Width of Rectangular Hexagon is the length of the inner edge which is parallel to the width of the Rectangular Hexagon. It represents the dimension of the cut-out portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the inner width by subtracting the area of the hexagon from the area of the original rectangle, then dividing by the difference between the full length and short length.

3. Importance of Inner Width Calculation

Details: Calculating the inner width is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagons. It helps determine the dimensions of the removed portion and the remaining structure.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the length is greater than the short length to avoid division by zero. All input values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the denominator becomes zero?
A: If length equals short length (l = l_Short), the denominator becomes zero and the inner width is undefined. This represents a geometric impossibility.

Q2: Can the inner width be negative?
A: The inner width should be a positive value. A negative result indicates inconsistent input values where the area is larger than the original rectangle's area.

Q3: What units should I use?
A: Use consistent units (preferably meters) for all measurements. The calculator assumes all inputs are in the same unit system.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact based on the input values. The result is rounded to 6 decimal places for display purposes.

Q5: What applications use this calculation?
A: This calculation is used in geometry, architectural design, mechanical engineering, and various fields dealing with composite shapes and cut-out sections.