Degrees to Radians
Convert degrees to radians instantly. 1 ° = 0.0174532925 rad. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert degrees to radians
To convert degrees to radians, divide by 57.2957795131 (multiply by 0.0174532925). The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
rad = ° × 0.0174532925
Degrees to Radians conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Degrees | Radians |
|---|---|
| 1 ° | 0.017453 rad |
| 2 ° | 0.034907 rad |
| 3 ° | 0.05236 rad |
| 5 ° | 0.087266 rad |
| 10 ° | 0.174533 rad |
| 20 ° | 0.349066 rad |
| 25 ° | 0.436332 rad |
| 50 ° | 0.872665 rad |
| 100 ° | 1.745329 rad |
| 500 ° | 8.726646 rad |
| 1,000 ° | 17.453293 rad |
What is a degree?
A 360th of a circle, inherited from Babylonian astronomy.
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
The formula
rad = ° × 0.0174532925
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Degrees to Radians
- Type the number of degrees you want to convert.
- Read the result in radians straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked radians to degrees page.
Degrees to Radians — frequently asked questions
How many radians are in a degree?
One degree equals 0.0174532925 rad. rad = ° × 0.0174532925
What is the formula to convert degrees to radians?
The formula is rad = ° × 0.0174532925. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert radians back to degrees?
Divide instead of multiplying: one radian is 57.2957795131 °. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this degrees to radians free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the degrees to radians.
- degrees to radians
- 1 degree to radians
- how many radians in a degree
- °2rad
- degrees in radians
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error