Degrees to Radians Converter
1 degree = 0.01745329 radians
Type a value in either box: the conversion between degrees (°) and radians (rad) updates instantly.
Good to know
Most programming languages' sin and cos functions expect radians. Multiply degrees by π/180 first.
How to convert degrees to radians
To convert degrees to radians, multiply the number of degrees by 0.01745329. To go the other way, multiply radians by 57.29578.
rad = ° × 0.01745329
Worked examples
- 1 ° = 0.01745329 rad
- 45 ° = 0.7853982 rad
- 90 ° = 1.570796 rad
- 180 ° = 3.141593 rad
Degrees to Radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.01745329 rad |
| 5 ° | 0.08726646 rad |
| 10 ° | 0.1745329 rad |
| 15 ° | 0.2617994 rad |
| 30 ° | 0.5235988 rad |
| 45 ° | 0.7853982 rad |
| 60 ° | 1.047198 rad |
| 90 ° | 1.570796 rad |
| 120 ° | 2.094395 rad |
| 135 ° | 2.356194 rad |
| 150 ° | 2.617994 rad |
| 180 ° | 3.141593 rad |
| 210 ° | 3.665191 rad |
| 225 ° | 3.926991 rad |
| 270 ° | 4.712389 rad |
| 300 ° | 5.235988 rad |
| 360 ° | 6.283185 rad |
About the units
Degrees (°)
A degree (°) is 1/360 of a full circle. A right angle is 90°, and each degree divides into 60 arcminutes.
Radians (rad)
The radian (rad) is the SI unit of angle: the angle whose arc equals the radius. A full circle is 2π radians, and maths and programming functions use radians.
Frequently asked questions
How do I convert degrees to radians?
rad = ° × 0.01745329What is 45 ° in radians?
How many radians are in a degree?
How many degrees are in a radian?
Conversion factors use exact international definitions where they exist (for example 1 inch = 2.54 cm and 1 lb = 0.45359237 kg). Results are rounded for display only.