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

Formula Used:

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

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (w_Short):

Inner Length of Rectangular Hexagon (l_Inner):

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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 the remaining length after removing the cut rectangular portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the inner length by subtracting the area from the total rectangle area and dividing by the width difference.

3. Importance of Inner Length Calculation

Details: Calculating the inner length is crucial for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes. It helps determine the precise dimensions of the cut portion.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that width is greater than short width, and all values are positive. The area should be less than or equal to the area of the original rectangle.

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 precise dimensions of cut-out sections need to be determined.

Q3: What are the constraints for valid inputs?
A: All inputs must be positive, width must be greater than short width, and area cannot exceed the area of the original rectangle (l × w).

Q4: Can this formula be used for other shapes?
A: No, this specific formula is designed for rectangular hexagons where the cut is parallel to the width dimension.

Q5: How accurate are the results?
A: The results are mathematically precise based on the input values, with rounding to four decimal places for practical use.