Spiral Length Calculator

Estimate the length of an Archimedean spiral.

Approximate length 172.79

Formula: length ≈ π × turns × (inner + outer)

Step-by-step with your numbers:
1. Values used:
2. Inner radius = 1
3. Outer radius = 10
4. Number of turns = 5
5.
6. Approximate length = 172.79
Did we solve your problem today?

Estimate how long a spiral is — like a rolled tape, wire or clock spring.

The math behind it

Treating each loop as a circle whose radius grows steadily, the total length is about π × turns × (inner radius + outer radius).

Worked example

Inner 1, outer 10, 5 turns → π·5·11 ≈ 172.8.

FAQ

How accurate is this?

It's a close approximation for evenly spaced spirals; exact length needs an integral.