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Diagonal of Rectangular Hexagon Given Short Length, Width and Inner Width Calculator

Diagonal of Rectangular Hexagon Formula:

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

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1. What is Diagonal of Rectangular Hexagon?

The Diagonal of Rectangular Hexagon is the distance between the inner vertex and the vertex opposite to it of the Rectangular Hexagon. It represents the longest straight line that can be drawn between these two points within the hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: This formula applies the Pythagorean theorem to calculate the diagonal length based on the given dimensions of the rectangular hexagon.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal is important for structural analysis, geometric measurements, and understanding the spatial properties of rectangular hexagons in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the inner width is less than the total width, and all values are positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit system as long as all inputs are in the same units.

Q2: Can the inner width be equal to the total width?
A: No, the inner width must be less than the total width to form a valid rectangular hexagon shape.

Q3: What if I get an error in calculation?
A: Make sure all input values are positive numbers and that the inner width is smaller than the total width.

Q4: Is this formula applicable to all types of hexagons?
A: No, this formula is specifically designed for rectangular hexagons with the described geometric properties.

Q5: How accurate is the calculated diagonal?
A: The calculation provides a precise mathematical result based on the input values, with accuracy up to 6 decimal places.

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