How this calculation works
Find the length of a circular helix with constant pitch.
THE FORMULA
L=turns × hypot(2πR,pitch)A worked example
A helix of radius 3 and pitch 8 has length hypot(6π,8) per turn.
Good to know
Pitch is the signed axial advance per complete turn.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Find the length of a circular helix with constant pitch.
The primary result is labeled “Arc length”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Pitch is the signed axial advance per complete turn.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
A helix of radius 3 and pitch 8 has length hypot(6π,8) per turn.
Which rule does this calculator apply?
L=turns × hypot(2πR,pitch)