Convert

Degree to Radian

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

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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?

From1 °

Result0.01745329 rad

Factor1 ° = 0.0174532925 rad

Source basisBIPM SI Brochure · NIST Guide to SI Appendix B

Examples

011 ° = 0.01745329 rad

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° = π/180 rad. Then the value is converted through the base unit rad into Radian.

Table

Degree	Radian
1	0.01745329
45	0.78539816
90	1.57079633
180	3.14159265
360	6.28318531

Formula

1° = π/180 rad. Then the value is converted through the base unit rad into Radian.

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

Radian to Degreerad → °Angle

Search and practice paths

FormulaTableExamplesCommon mistakeEveryday/engineeringExcel/CSVBatch converterPrint view

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 current as of May 2026. Angle. Source basis: BIPM SI Brochure · NIST Guide to SI Appendix B.

Common questions

What is the factor for Degree to Radian?

1 ° = 0.0174532925 rad

Which formula does Degree to Radian use?

1° = π/180 rad. Then the value is converted through the base unit rad into Radian.

When should I verify the result?

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