1 deg = 0.017453286279274 rad
1 Degree (deg) = 0.017453286279274 Radian (rad).
If you want to reverse convert, use Radian → Degree. 1 rad = 57.2958 deg. You can also explore the full Angle converter page for more cross conversions.
Conversion formula
Degree to Radian formula: value in rad = value in deg × 0.017453286279274.
Radian to Degree formula: value in deg = value in rad × 57.2958.
How to convert Degree to Radian
To convert Degree to Radian, multiply the value in deg by 0.017453286279274. This gives the result in rad.
For example, 1 deg = 0.017453286279274 rad and 10 deg = 0.17453286279274 rad.
What is Degree?
Degree (°): A full turn is 360 degrees and a right angle is 90 degrees. 90° = π/2 rad; 360° = 2π rad.
What is Radian?
Radian (rad): An angle subtending an arc as long as the circle’s radius; a full turn is 2π radians. 1 rad ≈ 57.2958°; 2π rad = 360°.
FAQ
How many radian are in 1 degree?
There are 0.017453286279274 rad in 1 deg.
Why can conversion results differ slightly?
Check the unit definition and rounding. US and imperial measures can differ; rounding intermediate values can also change the final digits.
How do I convert degree to radian?
Multiply the value in deg by 0.017453286279274 to get the value in rad.
Degree → other Angle units
- 1 degree → radian = 0.017453286279274 radian
- 1 degree → gradian = 1.1111111111111 gradian
Degree → Radian Table
The table below shows common values from Degree to Radian and the reverse direction for quick reference.
| deg | rad | Rounded |
|---|---|---|
| 1 deg | 0.017453286279274 rad | 0.0175 |
| 2 deg | 0.034906572558547 rad | 0.0349 |
| 3 deg | 0.052359858837821 rad | 0.0524 |
| 4 deg | 0.069813145117094 rad | 0.0698 |
| 5 deg | 0.087266431396368 rad | 0.0873 |
| 10 deg | 0.17453286279274 rad | 0.1745 |
| 12 deg | 0.20943943535128 rad | 0.2094 |
| 15 deg | 0.2617992941891 rad | 0.2618 |
| 20 deg | 0.34906572558547 rad | 0.3491 |
| 25 deg | 0.43633215698184 rad | 0.4363 |
| 30 deg | 0.52359858837821 rad | 0.5236 |
| 40 deg | 0.69813145117094 rad | 0.6981 |
| 50 deg | 0.87266431396368 rad | 0.8727 |
| 75 deg | 1.3089964709455 rad | 1.3090 |
| 100 deg | 1.7453286279274 rad | 1.7453 |
| 200 deg | 3.4906572558547 rad | 3.4907 |
| 250 deg | 4.3633215698184 rad | 4.3633 |
| 500 deg | 8.7266431396368 rad | 8.7266 |
| 750 deg | 13.089964709455 rad | 13.0900 |
| 1000 deg | 17.453286279274 rad | 17.4533 |
| 2500 deg | 43.633215698184 rad | 43.6332 |
| 5000 deg | 87.266431396368 rad | 87.2664 |
| 10000 deg | 174.53286279274 rad | 174.5329 |
Radian → Degree Table
| rad | deg | Rounded |
|---|---|---|
| 1 rad | 57.2958 deg | 57.2958 |
| 2 rad | 114.5916 deg | 114.5916 |
| 3 rad | 171.8874 deg | 171.8874 |
| 4 rad | 229.1832 deg | 229.1832 |
| 5 rad | 286.479 deg | 286.4790 |
| 10 rad | 572.958 deg | 572.9580 |
| 12 rad | 687.5496 deg | 687.5496 |
| 15 rad | 859.437 deg | 859.4370 |
| 20 rad | 1145.916 deg | 1145.9160 |
| 25 rad | 1432.395 deg | 1432.3950 |
| 30 rad | 1718.874 deg | 1718.8740 |
| 40 rad | 2291.832 deg | 2291.8320 |
| 50 rad | 2864.79 deg | 2864.7900 |
| 75 rad | 4297.185 deg | 4297.1850 |
| 100 rad | 5729.58 deg | 5729.5800 |
| 200 rad | 11459.16 deg | 11459.1600 |
| 250 rad | 14323.95 deg | 14323.9500 |
| 500 rad | 28647.9 deg | 28647.9000 |
| 750 rad | 42971.85 deg | 42971.8500 |
| 1000 rad | 57295.8 deg | 57295.8000 |
| 2500 rad | 143239.5 deg | 143239.5000 |
| 5000 rad | 286479 deg | 286479.0000 |
| 10000 rad | 572958 deg | 572958.0000 |
Radian → Degree
The reverse value is 1 rad = 57.2958 deg.