Degrees to Radians
Convert degrees (°) to radians (rad). Type in either box; the other updates as you go.
1 degree equals0.01745329252 rad
1 radian equals57.29577951 °
Formularad = ° × 0.01745329252
How to convert degrees to radians
To convert degrees to radians, multiply the number of degrees by 0.01745329252.
rad = ° × 0.01745329252
Example
Convert 100 degrees to radians:
100 ° × 0.01745329252 = 1.74533 rad
Degree to radian conversion chart
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.01745329 rad |
| 2 ° | 0.03490659 rad |
| 3 ° | 0.05235988 rad |
| 4 ° | 0.06981317 rad |
| 5 ° | 0.08726646 rad |
| 6 ° | 0.1047198 rad |
| 7 ° | 0.122173 rad |
| 8 ° | 0.1396263 rad |
| 9 ° | 0.1570796 rad |
| 10 ° | 0.1745329 rad |
| 12 ° | 0.2094395 rad |
| 15 ° | 0.2617994 rad |
| 20 ° | 0.3490659 rad |
| 25 ° | 0.4363323 rad |
| 30 ° | 0.5235988 rad |
| 40 ° | 0.6981317 rad |
| 50 ° | 0.8726646 rad |
| 60 ° | 1.047198 rad |
| 70 ° | 1.22173 rad |
| 75 ° | 1.308997 rad |
| 80 ° | 1.396263 rad |
| 90 ° | 1.570796 rad |
| 100 ° | 1.745329 rad |
| 150 ° | 2.617994 rad |
| 200 ° | 3.490659 rad |
| 250 ° | 4.363323 rad |
| 500 ° | 8.726646 rad |
| 1,000 ° | 17.45329 rad |
Going the other way? See the radians to degrees chart.
About the units
Degree (°)
A degree is 1/360 of a full turn.
Radian (rad)
A radian is the angle that cuts off an arc as long as the radius. A full turn is 2π radians, so one radian is about 57.3°.
Frequently asked questions
How many radians are in a degree?
There are 0.01745329252 radians in a degree.
How many degrees are in a radian?
There are 57.29577951 degrees in a radian.
How do you convert degrees to radians?
To convert degrees to radians, multiply the number of degrees by 0.01745329252.
What is 100 degrees in radians?
100 degrees equals 1.74533 radians.
Convert between degrees, radians, gradians, arcminutes and arcseconds. Open the angle converter to see a value in every unit at once.