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Is it possible to calculate the length of a spiral?

Question #149566. Asked by ozzz2002.
Last updated Jul 31 2023.
Originally posted Jul 31 2023 1:24 AM.

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WesleyCrusher star
Answer has 6 votes
Currently Best Answer
WesleyCrusher star
Moderator
16 year member
185 replies avatar

Answer has 6 votes.

Currently voted the best answer.
There are many different types of spirals in mathematics. The most commonly encountered ones all have a formula to calculate arc length (i.e. the length of the line):

Arithmetic spiral (like a record groove, equidistant): link https://en.wikipedia.org/wiki/Archimedean_spiral#Arc_length_and_curvature
Logarithmic spiral: link https://en.wikipedia.org/wiki/Logarithmic_spiral#Properties
Circular Helix (3-dimensional spiral, constant radius, think parking garage ramp): link https://en.wikipedia.org/wiki/Helix#Arc_length,_curvature_and_torsion


Jul 31 2023, 2:56 AM
wellenbrecher star
Answer has 3 votes
wellenbrecher star
20 year member
650 replies

Answer has 3 votes.
If the formulae in Wikipedia are too complicated for you, why not trying the Spiral Length Calculator?

link https://calculator.academy/spiral-length-calculator/

Jul 31 2023, 1:56 PM
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