Spiral Length Calculator - Multi-Tools

Spiral Length Calculator

Calculate the length of various types of spirals including Archimedean, logarithmic, and circular spirals.

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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 râ‚€ 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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