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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Short Width of Rectangular Hexagon (w_Short):

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

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1. What is the Width of Rectangular Hexagon?

The Width of Rectangular Hexagon is the length of shortest side of the rectangle from which the Rectangular Hexagon shape forms. It is an important geometric measurement used in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the width by subtracting the area of the inner rectangular portion from the total area and dividing by the difference between the outer and inner lengths.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for geometric analysis, structural design, material estimation, and ensuring proper fit in construction and manufacturing applications involving rectangular hexagon shapes.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the length is greater than the inner length and all values are positive numbers. The calculator will compute the width based on the provided measurements.

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 formula applicable?
A: This formula is specifically designed for calculating the width of a rectangular hexagon when you know the area, inner length, short width, and outer length.

Q3: What units should I use?
A: All measurements should be in consistent units (preferably meters). The result will be in the same unit system.

Q4: What if the denominator becomes zero?
A: The formula requires that the length is greater than the inner length. If they are equal, the denominator becomes zero and the calculation is undefined.

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