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

Formula Used:

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

Length of Rectangular Hexagon (l):

Short Width of Rectangular Hexagon (w_Short):

Inner Width of Rectangular Hexagon (w_Inner):

Area of Rectangular Hexagon (A):

m²

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's an important geometric measurement used in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the inner length based on the geometric relationships between the various dimensions and the total area of the rectangular hexagon.

3. Importance of Inner Length Calculation

Details: Calculating the inner length is crucial for accurate geometric modeling, structural design, and material estimation in various engineering and construction applications involving rectangular hexagon shapes.

4. Using the Calculator

Tips: Enter all dimensions in meters and area in square meters. All values must be positive numbers. Ensure consistent units throughout the calculation.

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 typically used?
A: This calculation is commonly used in architectural design, mechanical engineering, and construction where rectangular hexagon shapes are encountered.

Q3: What are the units for this calculation?
A: The calculator uses meters for length dimensions and square meters for area, but any consistent unit system can be used as long as all inputs use the same units.

Q4: Are there any limitations to this formula?
A: The formula assumes standard geometric relationships and may not apply to irregular or non-standard hexagonal shapes.

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