DEGREES TO RADIANS CONVERTER
Degrees to radians
Enter degrees, get radians — or swap for radians to degrees.
°
Degrees to radians chart
| Degrees (°) | Radians (rad) |
|---|---|
| 0 ° | 0 rad |
| 15 ° | 0.262 rad |
| 30 ° | 0.524 rad |
| 45 ° | 0.785 rad |
| 60 ° | 1.047 rad |
| 90 ° | 1.571 rad |
| 120 ° | 2.094 rad |
| 135 ° | 2.356 rad |
| 150 ° | 2.618 rad |
| 180 ° | 3.142 rad |
| 210 ° | 3.665 rad |
| 225 ° | 3.927 rad |
| 270 ° | 4.712 rad |
| 300 ° | 5.236 rad |
| 315 ° | 5.498 rad |
| 360 ° | 6.283 rad |
Radians to degrees chart
| Radians (rad) | Degrees (°) |
|---|---|
| 0.1 rad | 5.73 ° |
| 0.25 rad | 14.324 ° |
| 0.5 rad | 28.648 ° |
| 1 rad | 57.296 ° |
| 1.5 rad | 85.944 ° |
| 2 rad | 114.592 ° |
| 2.5 rad | 143.239 ° |
| 3 rad | 171.887 ° |
| 4 rad | 229.183 ° |
| 5 rad | 286.479 ° |
| 6 rad | 343.775 ° |
What is the formula for degrees to radians?
Radians = degrees × π ÷ 180. 90° is π/2 ≈ 1.5708 rad; 45° is π/4 ≈ 0.7854 rad.
What is the formula for radians to degrees?
Degrees = radians × 180 ÷ π. 1 radian is about 57.2958°, and 2 radians is 114.59°.
How many radians are in a circle?
2π, about 6.2832 — the same as 360°.
Why do calculators use radians?
Calculus and physics formulas are simplest in radians. The scientific calculator switches between DEG and RAD.
What are the common angles in radians?
30° = π/6, 45° = π/4, 60° = π/3, 90° = π/2, 180° = π and 270° = 3π/2.