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The Long Diagonal of a Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon. It passes through the center of the hexagon and is the longest possible diagonal in a regular hexagon.
The calculator uses the formula:
Where:
Explanation: This formula derives from the geometric properties of a regular hexagon, where the relationship between the long and short diagonals is constant.
Details: Calculating the long diagonal is important in various geometric applications, architectural designs, engineering projects, and mathematical problems involving hexagonal shapes. It helps in determining the overall dimensions and spatial requirements of hexagonal structures.
Tips: Enter the short diagonal length in meters. The value must be positive and greater than zero. The calculator will compute the corresponding long diagonal length.
Q1: What is the relationship between long and short diagonals in a hexagon?
A: In a regular hexagon, the long diagonal is exactly \( \frac{2}{\sqrt{3}} \) times the length of the short diagonal.
Q2: Can this formula be used for irregular hexagons?
A: No, this formula applies only to regular hexagons where all sides and angles are equal.
Q3: What are practical applications of this calculation?
A: This calculation is used in engineering, architecture, game development, and any field dealing with hexagonal patterns or structures.
Q4: How accurate is this calculation?
A: The calculation is mathematically exact for regular hexagons, though practical measurements may have slight variations.
Q5: What units should I use for the input?
A: You can use any consistent unit of length (meters, centimeters, inches, etc.), but the calculator displays results in meters by default.