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

Formula Used:

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

Inner Width of Rectangular Hexagon:

Diagonal of Rectangular Hexagon:

Length of Rectangular Hexagon:

Inner Length of Rectangular Hexagon:

Width of Rectangular Hexagon:

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1. What is the Width of Rectangular Hexagon?

The Width of Rectangular Hexagon is the length of shortest side of the rectangle from which the Rectangular Hexagon shape forms. It represents the outer dimension of the hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( w \) — Width of Rectangular Hexagon (m)
\( w_{Inner} \) — Inner 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: The formula calculates the outer width by adding the inner width to the square root of the difference between the squared diagonal and the squared difference between outer and inner lengths.

3. Importance of Width Calculation

Details: Calculating the width of a rectangular hexagon is essential in geometry, architecture, and engineering applications where precise dimensional calculations are required for construction and design purposes.

4. Using the Calculator

Tips: Enter all values in meters. Ensure the diagonal is greater than the difference between length and inner length to avoid negative square root values. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

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

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

Q3: What units should I use?
A: The calculator uses meters as the default unit, but you can use any consistent unit of measurement as long as all inputs are in the same unit.

Q4: What if I get an error result?
A: An error typically occurs when the value inside the square root is negative, which means the given dimensions cannot form a valid rectangular hexagon.

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