Radians to Turns

Convert radians to turns (revolutions) using turns = radians / 2π.

Author

Prof. Tomoko Sato

Math editorial contributor

Japanese behavioral economist at the London School of Economics, researching nudge theory applications in public health

Reviewed by

Dr. Samuel Okafor

Math content reviewer

Nigerian-Canadian data scientist with a PhD from the University of Toronto, building ML models for early cancer detection

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

0 rad =

0 turns

Representative value from the Radians to Turns reference table.

Reference Values

Browse 25 reference values with individual detail pages for quick lookup.

Browse all reference values

Radians to Turns

Convert radians to turns (revolutions) using turns = radians / 2π.

Calculated Result

Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Radians to Turns Reference
RadiansTurns
-3.141593 rad-0.5 turns
-2.879793 rad-0.458333 turns
-2.617994 rad-0.416667 turns
-2.356194 rad-0.375 turns
-2.094395 rad-0.333333 turns
-1.832596 rad-0.291667 turns
-1.570796 rad-0.25 turns
-1.308997 rad-0.208333 turns
-1.047198 rad-0.166667 turns
-0.785398 rad-0.125 turns
-0.523599 rad-0.083333 turns
-0.261799 rad-0.041667 turns
0 rad0 turns
0.261799 rad0.041667 turns
0.523599 rad0.083333 turns
0.785398 rad0.125 turns
1.047198 rad0.166667 turns
1.308997 rad0.208333 turns
1.570796 rad0.25 turns
1.832596 rad0.291667 turns
2.094395 rad0.333333 turns
2.356194 rad0.375 turns
2.617994 rad0.416667 turns
2.879793 rad0.458333 turns
3.141593 rad0.5 turns

Frequently Asked Questions

Common questions about Radians to Turns, formulas, and typical use cases.

What does the Radians to Turns calculator do?

It helps with expressing radian angles as fractions of a full revolution.

What formula does the Radians to Turns calculator use?

Turns = radians / (2π).

What inputs are valid?

Any finite radian value is valid.

When would I use this?

expressing radian angles as fractions of a full revolution

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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