Convert

Radian to Turn

Exact answer: 1 rad = 0.159154943092 turn (exact defined factor)

Radian and Turn describe the same quantity from the Angle family but come from different systems of units. The factor is defined exactly. Angles appear in geometry, navigation, surveying, mechanical engineering and graphics.

Unit console

Convert units with formula, context and precision

UnitCloud is a local measurement lab for everyday work, engineering, IT, energy, mobility and design. Every conversion shows result, formula, base unit, rounding and the common mistake.

What do you want to convert?

From0.5 rad

Result0.079577 turn

Factor1 rad = 0.159154943092 turn

Source basisBIPM SI Brochure · NIST Guide to SI Appendix B

Examples

010.5 rad = 0.079577 turn

Example value from the reference table. Internal calculation uses stored factors; display output is rounded.

02Common mistake

Degrees and radians are often mixed in software, geometry and trigonometry. Formulas usually expect a specific angle unit.

03Base unit: rad

1 rad = 0.159154943092 turn. Radian is the base unit of the family, so the value is converted directly.

Table

Radian to Turn
Radian	Turn
0.5	0.079577
1	0.159155
2	0.31831
3	0.477465
6.283185	1
10	1.591549

Formula

1 rad = 0.159154943092 turn. Radian is the base unit of the family, so the value is converted directly.

Sources

BIPM SI BrochureSI base units, prefixes and official SI context.NIST Guide to SI Appendix BNIST conversion-factor method and non-SI factors.

Related conversions

Degree to Radian° → radAngle Radian to Degreerad → °Angle Turn to Degreeturn → °Angle Degree to Turn° → turnAngle

Search and practice paths

FormulaTableExamplesCommon mistakeEveryday/engineeringExcel/CSVBatch converterPrint view

Data rateReading internet speed correctly

Factor origin

Factors come from the stored source family and are not derived from rounded display values.

Rounding rule

UnitCloud keeps calculating with stored factors and rounds only the displayed output by selected precision.

When not to use

Do not use as the sole basis for official, medical, safety-critical or contractual decisions.

Citation

Citation note: UnitCloud, conversion with formula, sources reviewed: September 2026. Angle. Source basis: BIPM SI Brochure · NIST Guide to SI Appendix B.

Common questions

What is the factor for Radian to Turn?

1 rad = 0.159154943092 turn

Which formula does Radian to Turn use?

1 rad = 0.159154943092 turn. Radian is the base unit of the family, so the value is converted directly.

What is the most common mistake?

Degrees and radians are often mixed in software, geometry and trigonometry. Formulas usually expect a specific angle unit.

When should I verify the result?

Do not use as the sole basis for official, medical, safety-critical or contractual decisions.