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

Formula Used:

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

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

Area of Rectangular Hexagon (A):

m²

Inner Width of Rectangular Hexagon (w_Inner):

Short Length of Rectangular Hexagon (l_Short):

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1. What is Short Length of Rectangular Hexagon?

Short Length of Rectangular Hexagon is the remaining length of the rectangle from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents one of the key dimensions in defining the geometry of a rectangular hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the short length by subtracting the ratio of the area difference between the original rectangle and the rectangular hexagon to the inner width from the original length.

3. Importance of Short Length Calculation

Details: Calculating the short length is essential for determining the complete geometry of rectangular hexagons, which are important in various engineering and architectural applications where complex shapes are required.

4. Using the Calculator

Tips: Enter all dimensions in meters and area in square meters. Ensure all values are positive numbers with length, width, and inner width greater than 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 engineering applications where complex polygonal shapes are involved.

Q3: What units should be used for input values?
A: All linear dimensions should be in meters (m) and area in square meters (m²). The calculator will provide results in the same units.

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

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