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”
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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.
Where these come from
- 1 degree = 0.017453292519943295 radians
Every other number on this page is computed from those, and each category is pinned to conversions worked out by hand from the units' primary definitions before it ships.
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.
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