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

Formula Used:

\[ l_{Inner} = \frac{(l \times (\frac{P}{2} - l)) - A}{\frac{P}{2} - l - w_{Short}} \]

Length of Rectangular Hexagon (l):

Perimeter of Rectangular Hexagon (P):

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 measurement of the inner dimension that remains after removing the cut rectangular portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Inner} = \frac{(l \times (\frac{P}{2} - l)) - A}{\frac{P}{2} - l - w_{Short}} \]

Where:

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

Explanation: This formula calculates the inner length by considering the geometric relationships between the perimeter, area, outer dimensions, and the removed rectangular portion of the hexagon.

3. Importance of Inner Length Calculation

Details: Calculating the inner length is crucial for understanding the complete geometry of rectangular hexagons, which is important in various engineering, architectural, and manufacturing applications where this shape is used.

4. Using the Calculator

Tips: Enter all values in meters (length, perimeter, short width) and square meters (area). Ensure all values are positive numbers and that the denominator doesn't become zero, which would make the result undefined.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed by cutting a smaller rectangle from a larger rectangle, resulting in a shape with both inner and outer dimensions.

Q2: When would this calculation be needed?
A: This calculation is useful in architectural design, manufacturing, and engineering applications where rectangular hexagon shapes are used, such as in certain types of frames, containers, or structural elements.

Q3: What happens if the denominator becomes zero?
A: If the denominator becomes zero, the result is mathematically undefined. This occurs when P/2 - l - w_Short = 0, which represents a specific geometric condition where the calculation is not possible.

Q4: Are there any limitations to this formula?
A: The formula assumes standard geometric relationships and may not account for irregular shapes or non-standard rectangular hexagon configurations.

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