Inner Width of Rectangular Hexagon given Diagonal, Length, Inner Length and Width Calculator

Formula Used:

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

Width of Rectangular Hexagon (w):

Diagonal of Rectangular Hexagon (d):

Length of Rectangular Hexagon (l):

Inner Length of Rectangular Hexagon (l_Inner):

Inner Width of Rectangular Hexagon (w_Inner):

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1. What is Inner Width of Rectangular Hexagon?

The Inner Width of Rectangular Hexagon is the length of the inner edge which is parallel to the width of the Rectangular Hexagon. It is an important geometric parameter in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( w_{Inner} \) — Inner Width of Rectangular Hexagon (m)
\( w \) — 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 inner width by subtracting the square root term from the outer width, where the square root term represents the geometric relationship between the diagonal and the difference between outer and inner lengths.

3. Importance of Inner Width Calculation

Details: Accurate calculation of inner width is crucial for proper geometric design, structural analysis, and manufacturing precision in various engineering applications involving rectangular hexagon shapes.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive and the diagonal is sufficiently large to accommodate the given length difference. The expression under the square root must be non-negative for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing two opposite corners from a rectangle, resulting in a six-sided polygon.

Q2: When is this formula applicable?
A: This formula is specifically designed for calculating the inner width of a rectangular hexagon when the diagonal, outer width, outer length, and inner length are known.

Q3: What if I get a negative value under the square root?
A: A negative value under the square root indicates that the given dimensions are geometrically impossible for a rectangular hexagon. Please verify your input values.

Q4: Can this calculator handle different units?
A: The calculator assumes all inputs are in meters. For other units, convert all measurements to meters first or adjust the result accordingly.

Q5: How precise are the results?
A: Results are calculated with high precision (6 decimal places) but actual precision depends on the accuracy of your input measurements.