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Chord Slice Of Hexagram Given Area Calculator

Formula Used:

\[ Chord\ Slice\ Length\ of\ Hexagram = \sqrt{Area\ of\ Hexagram/(3 \times \sqrt{3})} \]
\[ l_{Chord\ Slice} = \sqrt{A/(3 \times \sqrt{3})} \]

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1. What is Chord Slice Length of Hexagram?

The Chord Slice Length of Hexagram is the one third part of short diagonal length of regular hexagon from which the Hexagram is constructed, or the edge length of the Hexagram shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Chord\ Slice\ Length\ of\ Hexagram = \sqrt{Area\ of\ Hexagram/(3 \times \sqrt{3})} \]

Where:

Explanation: This formula calculates the chord slice length of a hexagram based on its total area, using the mathematical relationship between the area and the geometric properties of a hexagram.

3. Importance of Chord Slice Calculation

Details: Calculating the chord slice length is important for geometric analysis, architectural design, and understanding the proportional relationships within hexagram shapes.

4. Using the Calculator

Tips: Enter the area of the hexagram in square meters. The value must be valid (area > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a hexagram?
A: A hexagram is a six-pointed star polygon formed by two overlapping equilateral triangles.

Q2: How is chord slice length related to hexagram geometry?
A: The chord slice length represents one third of the short diagonal of the underlying regular hexagon, or the edge length of the hexagram shape.

Q3: What units should I use for area input?
A: The calculator expects area in square meters, but you can use any consistent unit system as long as you interpret the result in the same linear units.

Q4: Can this formula be used for irregular hexagrams?
A: No, this formula is specifically designed for regular hexagrams with perfect geometric symmetry.

Q5: What is the significance of the √3 factor in the formula?
A: The √3 factor comes from the geometric properties of equilateral triangles and regular hexagons that form the basis of hexagram geometry.

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