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Short Sides Of Arrow Hexagon Calculator

Formula Used:

\[ SShort = \sqrt{\frac{wGap^2}{2 \times (1 - \cos(\angle Top))}} \]

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1. What is the Short Sides of Arrow Hexagon Calculation?

The Short Sides of Arrow Hexagon calculation determines the length of the shortest side of an arrow hexagon using the gap width and top angle measurements. This geometric calculation is essential in various engineering and design applications involving hexagonal arrow shapes.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

\[ SShort = \sqrt{\frac{wGap^2}{2 \times (1 - \cos(\angle Top))}} \]

Where:

Explanation: The formula calculates the short side length based on trigonometric relationships between the gap width and the top angle of the arrow hexagon.

3. Importance of Short Side Calculation

Details: Accurate calculation of the short side is crucial for proper geometric construction, material estimation, and structural integrity in designs involving arrow hexagons.

4. Using the Calculator

Tips: Enter gap width in meters and top angle in radians. Both values must be positive numbers greater than zero for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for inputs?
A: Gap width should be in meters and top angle should be in radians for accurate results.

Q2: Can I use degrees instead of radians?
A: The calculator requires angle input in radians. Convert degrees to radians by multiplying by π/180.

Q3: What is the typical range for gap width?
A: Gap width can vary significantly depending on the application, but must always be a positive value.

Q4: Are there limitations to this calculation?
A: The formula assumes a perfect geometric arrow hexagon shape and may not account for manufacturing tolerances or material properties.

Q5: How precise are the results?
A: Results are calculated with high precision but should be verified with physical measurements for critical applications.

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