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Chord Length of Hexagram Formula:
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The Chord Length of Hexagram is the short diagonal length of regular hexagon from which the Hexagram is constructed using its short diagonals. It represents the distance between two non-adjacent vertices of the hexagram.
The calculator uses the Chord Length of Hexagram formula:
Where:
Explanation: The formula calculates the chord length by multiplying the hexagonal edge length by the square root of 3, which is derived from the geometric properties of regular hexagons and hexagrams.
Details: Calculating the chord length is essential in geometric design, architectural planning, and various engineering applications where hexagram shapes are used. It helps in determining the precise dimensions and proportions of hexagram-based structures.
Tips: Enter the hexagonal edge length in meters. The value must be positive and valid. The calculator will compute the corresponding chord length of the hexagram.
Q1: What is a hexagram?
A: A hexagram is a six-pointed star polygon formed by two overlapping equilateral triangles. It's also known as the Star of David in various cultural contexts.
Q2: How is the chord length related to the hexagon?
A: The chord length is the short diagonal of the regular hexagon from which the hexagram is constructed, connecting two non-adjacent vertices.
Q3: Can this formula be used for any regular hexagon?
A: Yes, this formula applies to all regular hexagons where the hexagram is constructed using the short diagonals.
Q4: What are practical applications of hexagram geometry?
A: Hexagram geometry is used in various fields including architecture, decorative art, religious symbolism, and mathematical research on geometric properties.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact when using the precise value of √3. The calculator provides results with high precision up to 6 decimal places.