Convert degrees to radians
1 ° = 0.01745329 rad. Change the amount below, or read the formula and the reference table further down.
1 degree equals
radians
1 ° = 0.01745329 rad
The formula
Degrees and radians both measure angle from the same zero, so a single multiplier does the job.
rad = ° × 0.0174532925
Going the other way? Convert radians to degrees.
Degrees to radians table
Common values, rounded for reading.
| Degrees (°) | Radians (rad) |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 4 | 0.069813 |
| 5 | 0.087266 |
| 6 | 0.10472 |
| 7 | 0.122173 |
| 8 | 0.139626 |
| 9 | 0.15708 |
| 10 | 0.174533 |
| 15 | 0.261799 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 30 | 0.523599 |
| 40 | 0.698132 |
| 50 | 0.872665 |
| 75 | 1.309 |
| 100 | 1.7453 |
| 250 | 4.3633 |
| 500 | 8.7266 |
| 1,000 | 17.4533 |
Questions people ask
- How many radians are in a degree?
- One degree equals 0.0174532925 radians.
- How do I convert degrees to radians by hand?
- Multiply the number of degrees by 0.0174532925. For a rough check, 0.017 is close enough for most everyday use.
- What is 1 degree in radians?
- 1 degree is 0.01745329 radians.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.