Angle converter
Convert Degrees to Radians (deg to rad)
1 deg = 0.017453 rad. Angular inputs for CNC and trig calculations.
Degrees to radians conversion table
| deg | rad |
|---|---|
| 1 deg | 0.017453 rad |
| 2 deg | 0.034907 rad |
| 3 deg | 0.05236 rad |
| 4 deg | 0.069813 rad |
| 5 deg | 0.087266 rad |
| 6 deg | 0.10472 rad |
| 7 deg | 0.122173 rad |
| 8 deg | 0.139626 rad |
| 9 deg | 0.15708 rad |
| 10 deg | 0.174533 rad |
| 15 deg | 0.261799 rad |
| 20 deg | 0.349066 rad |
| 25 deg | 0.436332 rad |
| 30 deg | 0.523599 rad |
| 40 deg | 0.698132 rad |
| 45 deg | 0.785398 rad |
| 50 deg | 0.872665 rad |
| 75 deg | 1.309 rad |
| 90 deg | 1.5708 rad |
| 100 deg | 1.7453 rad |
| 150 deg | 2.618 rad |
| 180 deg | 3.1416 rad |
| 200 deg | 3.4907 rad |
| 250 deg | 4.3633 rad |
| 500 deg | 8.7266 rad |
| 1000 deg | 17.4533 rad |
How to convert degrees to radians
Multiply the value in degrees by 0.017453 to get radians. 1 deg equals 0.017453 rad, and 1 rad equals 57.2958 deg.
About these units
The degree divides a circle into 360 parts. Draft angles, chamfers, and index positions on drawings are dimensioned in degrees.
The radian is the SI angle, the angle subtending an arc equal to the radius. Motion control math and angular velocity use radians; a full circle is 2 pi radians.
Common questions
How many radians are in a degree?
1 deg equals 0.017453 rad.
How do you convert degrees to radians?
Use rad = deg ÷ 57.29578. So 1 deg = 0.017453 rad, and to go back, 1 rad = 57.2958 deg.
What is 10 deg in rad?
10 deg equals 0.174533 rad.
What is 100 deg in rad?
100 deg equals 1.7453 rad.