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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (wShort):

Length of Rectangular Hexagon (l):

Short Length of Rectangular Hexagon (lShort):

Inner Width of Rectangular Hexagon (wInner):

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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 remaining width dimension after removing the cut rectangular portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the inner width by subtracting the area contribution of the removed rectangular portion from the total area, then solving for the remaining inner width dimension.

3. Importance of Inner Width Calculation

Details: Calculating the inner width is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes. It helps determine the complete dimensional properties of the figure.

4. Using the Calculator

Tips: Enter all values in meters and square meters. Ensure that the short length is less than the total length, and all values are positive numbers for valid calculations.

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 where rectangular hexagon shapes are encountered, such as in window frames, structural elements, or mechanical parts.

Q3: What are the constraints for valid input values?
A: All input values must be positive numbers. The short length must be less than the total length, and the area must be sufficient to accommodate the specified dimensions.

Q4: Can this formula be used for other polygon shapes?
A: No, this specific formula is designed only for rectangular hexagon shapes formed by removing a rectangular portion from a larger rectangle.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The result is rounded to 6 decimal places for practical use while maintaining high accuracy.