degree to radian
Live degree (°) to radian (rad) converter. Plus a 10-value reference table and FAQs.
Conversion table
Ten sample values from degree to radian. Use the converter above for arbitrary values.
| degree (°) | → | radian (rad) |
|---|---|---|
| 0.001 ° | → | 1.7453e-5 rad |
| 0.01 ° | → | 0.000175 rad |
| 0.1 ° | → | 0.001745 rad |
| 0.5 ° | → | 0.008727 rad |
| 1 ° | → | 0.017453 rad |
| 2 ° | → | 0.034907 rad |
| 5 ° | → | 0.087266 rad |
| 10 ° | → | 0.174533 rad |
| 100 ° | → | 1.745329 rad |
| 1,000 ° | → | 17.453293 rad |
About the degree
1/360 of a full turn. Compass, latitude.
About the radian
The angle subtended by an arc equal to the radius. SI unit.
How degree to radian conversion works
Both units belong to Angle. Unitbox first expresses the input in the category reference unit (rad), then expresses that same quantity in radian.
The right unit depends on the convention used by your industry, country, instrument, or source document.
Unit definitions and conversion factors are maintained in the Unitbox methodology. Last reviewed with the current conversion dataset.
Frequently asked questions
Frequently Asked Questions
How do I convert degree to radian?
Multiply the degree value by 0.017453 to get it in radian. For example, 10 ° = 0.1745 rad.
What is 1 ° in rad?
1 ° = 0.017453 rad.
What is 100 ° in rad?
100 ° = 1.7453 rad.
What is the formula?
Linear: multiply by 0.017453 (the unit factor ratio).
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