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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Width of Rectangular Hexagon (w):

Short Width of Rectangular Hexagon (w_Short):

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 that define the geometry of a rectangular hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the short length dimension of a rectangular hexagon based on its total area, inner length, overall width, and short width measurements.

3. Importance of Short Length Calculation

Details: Accurate calculation of the short length is crucial for geometric modeling, architectural design, and engineering applications involving rectangular hexagon shapes. It helps in determining the complete dimensional profile of the hexagon.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the short width is less than or equal to the overall width, and all dimensional values are positive numbers.

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: How is this different from a regular hexagon?
A: Unlike a regular hexagon with equal sides and angles, a rectangular hexagon has specific rectangular properties with two pairs of parallel sides.

Q3: What are typical applications of this calculation?
A: This calculation is used in architectural design, manufacturing, CAD modeling, and geometric analysis where rectangular hexagon shapes are involved.

Q4: Are there any constraints on the input values?
A: Yes, all input values must be positive, and the short width cannot exceed the overall width of the hexagon.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric relationships of rectangular hexagons, provided accurate input values are given.