Convert

Degree to Turn

Exact answer: 1 ° = 0.002777777778 turn (exact defined factor)

Degree 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.

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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?

From45 °

Result0.125 turn

Factor1 ° = 0.002777777778 turn

Source basisBIPM SI Brochure · NIST Guide to SI Appendix B

Examples

0145 ° = 0.125 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 ° = 0.0174532925199 rad. Then the value is converted through the base unit rad into Turn.

Table

Degree to Turn
Degree	Turn
45	0.125
90	0.25
180	0.5
270	0.75
360	1
720	2

Formula

1 ° = 0.0174532925199 rad. Then the value is converted through the base unit rad into Turn.

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 Turn to Radianturn → radAngle

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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 Degree to Turn?

1 ° = 0.002777777778 turn

Which formula does Degree to Turn use?

1 ° = 0.01745329252 rad. Then the value is converted through the base unit rad into Turn.

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.