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Spiral Length Calculator
Calculate the arc length of an Archimedean spiral ($r = a + b\theta$)
Formula: For an Archimedean spiral $r = b\theta$, arc length $L = \frac{b}{2} \left[ \theta\sqrt{1+\theta^2} + \ln\left(\theta + \sqrt{1+\theta^2}\right) \right]$. Enter spiral constant $b$ and total angle turns ($\theta$ in radians or rotations) below.
Spiral Parameters Input
Calculation Results
⚠️ For educational purposes only. Verify results with a qualified professional when making important decisions.