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The Length of Rectangular Hexagon is the length of the longest side of the rectangle from which the Rectangular Hexagon shape forms. It represents the overall outer dimension of the hexagonal structure.
The calculator uses the formula:
Where:
Explanation: This formula calculates the outer length of a rectangular hexagon by adding the inner length to the square root of the difference between the squared diagonal and the squared difference between width and inner width.
Details: Accurate length calculation is crucial for geometric design, architectural planning, and engineering applications involving rectangular hexagonal shapes. It helps in determining the overall dimensions and proportions of the structure.
Tips: Enter all values in meters. Ensure that the diagonal measurement is greater than the difference between width and inner width to avoid negative square root values. All input values must be non-negative.
Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed from a rectangle by cutting off two opposite corners at 45-degree angles.
Q2: Why is the square root function used in this formula?
A: The square root function is used to calculate the horizontal component of the diagonal measurement based on the Pythagorean theorem.
Q3: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as all inputs are in the same unit.
Q4: What happens if (w - wInner) is greater than d?
A: This would result in a negative value under the square root, which is mathematically invalid. Ensure that the diagonal is sufficiently long to accommodate the width difference.
Q5: Can this formula be used for all types of hexagons?
A: No, this formula is specifically designed for rectangular hexagons with the particular geometric properties described.