Spiral Length Calculator
Calculate the length of various types of spirals including Archimedean, logarithmic, and circular spirals.
Results
Total Length:
0
units
Final Radius:
0
units
How to Calculate Spiral Length
Different types of spirals have different formulas for calculating their length:
Archimedean Spiral
L = ½a[θ√(1 + θ²) + ln(θ + √(1 + θ²))]
where a is the spacing between turns and θ is the angle in radians
Logarithmic Spiral
L = r₀(e^(bθ) - 1)/b
where r₀ is the initial radius and b is the growth factor
Circular Spiral
L = 2πr × n
where r is the radius and n is the number of turns
Note: The calculations are approximate and may vary slightly depending on the spiral's parameters.
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