Short Width Of Rectangular Hexagon Given Area, Inner Length, Short Length And Width Calculator

Formula Used:

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

Width of Rectangular Hexagon (w):

Short Length of Rectangular Hexagon (lShort):

Inner Length of Rectangular Hexagon (lInner):

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (wShort):

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1. What is the Short Width of Rectangular Hexagon?

The Short Width of Rectangular Hexagon is the remaining length of the rectangle width from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents the shorter dimension of the resulting hexagonal shape.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

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

Explanation: This formula calculates the remaining width after subtracting the area of the cut rectangular portion from the original rectangle, divided by the inner length.

3. Importance of Short Width Calculation

Details: Calculating the short width is essential for determining the precise dimensions of rectangular hexagons in geometric design, architectural planning, and engineering applications where accurate measurements are crucial.

4. Using the Calculator

Tips: Enter all dimensions in meters and area in square meters. Ensure all values are positive numbers. The inner length must be greater than zero to avoid division by zero.

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, manufacturing, and geometric modeling where rectangular hexagons appear in structural elements or design patterns.

Q3: What are the constraints for valid inputs?
A: All input values must be positive numbers. The inner length must be greater than zero, and the calculated short width should not exceed the original width.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise when correct input values are provided. The result accuracy depends on the precision of the input measurements.

Q5: Can this formula be used for other polygon calculations?
A: This specific formula is designed for rectangular hexagons. Other polygon shapes require different geometric formulas and calculations.