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

Formula Used:

\[ w_{Short} = \sqrt{d^2 - (l - l_{Inner})^2} \]

Diagonal of Rectangular Hexagon (d):

Length of Rectangular Hexagon (l):

Inner Length of Rectangular Hexagon (l_Inner):

Short Width of Rectangular Hexagon (w_Short):

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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 is an important geometric measurement in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w_{Short} = \sqrt{d^2 - (l - l_{Inner})^2} \]

Where:

\( w_{Short} \) — Short Width of Rectangular Hexagon (m)
\( d \) — Diagonal of Rectangular Hexagon (m)
\( l \) — Length of Rectangular Hexagon (m)
\( l_{Inner} \) — Inner Length of Rectangular Hexagon (m)

Explanation: This formula calculates the short width using the Pythagorean theorem, where the diagonal forms the hypotenuse of a right triangle with the difference between length and inner length as one side, and the short width as the other side.

3. Importance of Short Width Calculation

Details: Accurate calculation of the short width is crucial for proper geometric construction, material estimation, and structural integrity assessment in various engineering and design applications involving rectangular hexagon shapes.

4. Using the Calculator

Tips: Enter diagonal, length, and inner length values in meters. All values must be positive, and the length must be greater than the inner length for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters as the default unit. Ensure all measurements are in consistent units for accurate results.

Q2: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where the cut portion is rectangular and parallel to the original rectangle sides.

Q3: What if the inner length equals the outer length?
A: If inner length equals outer length, the shape becomes a rectangle, and the short width calculation would be invalid as there would be no cut portion.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the Pythagorean theorem, provided accurate input values are given.

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