1 degree = 0.0174533 radians
Convert degrees to radians.
Both directions on one page — swap the units and the whole thing runs backwards.
Type a value, or “5cm to in”
1 row could not be read rows could not be read
The formula
rad = ° × 0.0174533
Worked through with a real value: 10 degrees = 0.174533 radians.
Going the other way: ° = rad × 57.2958, so 1 radian = 57.2958 degrees.
What each unit is
- degree °
- One 360th of a full turn. The everyday unit for angles in navigation, surveying, geometry and most general contexts.
- radian rad
- The SI base unit of angle, defined as the angle subtended by an arc whose length equals the radius. Used throughout trigonometry and calculus.
Conversion tables
| degrees (°) | radians (rad) |
|---|---|
| 1 | 0.0174533 |
| 2 | 0.0349066 |
| 3 | 0.0523599 |
| 4 | 0.0698132 |
| 5 | 0.0872665 |
| 6 | 0.10472 |
| 7 | 0.122173 |
| 8 | 0.139626 |
| 9 | 0.15708 |
| 10 | 0.174533 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 75 | 1.309 |
| 100 | 1.74533 |
| radians (rad) | degrees (°) |
|---|---|
| 1 | 57.2958 |
| 2 | 114.592 |
| 3 | 171.887 |
| 4 | 229.183 |
| 5 | 286.479 |
| 6 | 343.775 |
| 7 | 401.07 |
| 8 | 458.366 |
| 9 | 515.662 |
| 10 | 572.958 |
| 20 | 1145.92 |
| 25 | 1432.39 |
| 50 | 2864.79 |
| 75 | 4297.18 |
| 100 | 5729.58 |
Questions
How many radians are in a degree?
1 degree = 0.0174533 radians.
How do I convert degrees to radians?
Use rad = ° × 0.0174533. For example, 10 degrees = 0.174533 radians.
How many degrees are in one radian?
1 radian = 57.2958 degrees.
What is 10 degrees in radians?
10 degrees = 0.174533 radians.
You are already here. The file tools are free too.
Merge and split PDFs, convert and resize images, cut out a background. Same deal as this page: no account, no watermark, and most of them never upload your file.