Degrees to Radians Converter
Type a number to convert degrees to radians. The result updates as you type, and you can swap the units to convert back.
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The formula
radians = degrees x 0.01745
How to convert degrees to radians
To convert degrees to radians, multiply by 0.01745. One degree equals 0.01745 radians, and one radian equals 57.296 degrees.
A worked example
90 degrees is 1.5708 radians.
Quick conversion table
| Degrees | Radians |
|---|---|
| 0 ° | 0 rad |
| 15 ° | 0.2618 rad |
| 30 ° | 0.5236 rad |
| 45 ° | 0.7854 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 135 ° | 2.3562 rad |
| 180 ° | 3.1416 rad |
| 270 ° | 4.7124 rad |
| 360 ° | 6.2832 rad |
And the other way: radians to degrees
| Radians | Degrees |
|---|---|
| 1 rad | 57.296 ° |
| 2 rad | 114.59 ° |
| 5 rad | 286.48 ° |
| 10 rad | 572.96 ° |
| 20 rad | 1,145.92 ° |
| 25 rad | 1,432.39 ° |
| 50 rad | 2,864.79 ° |
| 100 rad | 5,729.58 ° |
When you will need it
Trigonometry, programming and physics use radians, while maps, construction and everyday angles use degrees.
A full circle is 360 degrees, which is 2π (about 6.283) radians. So 180 degrees is exactly π.
Degrees to Radians Converter: frequently asked questions
How many radians are in one degree?
One degree is 0.01745 radians.
How many degrees are in one radian?
One radian is 57.296 degrees.
Is this degrees to radians conversion exact?
The factor is exact where the units are defined that way, and we show the result rounded for readability.
How exact is the conversion?
It uses the internationally agreed definitions, and rounds only the number you see.
Is what I enter in this converter saved or sent anywhere?
No. The calculation runs in your browser, so what you enter is not sent to our servers. We only count, anonymously, whether a tool ran successfully.
Is this converter free to use?
Yes. It is free, needs no sign-up and has no usage limit.
Last reviewed: October 3, 2026