How do you convert radians to degrees?
Multiply radians by 180/π to get degrees (exact).
Detailed answer
Since 2π rad = 360°, 1 rad = 180/π degrees (about 57.2958°). This is the inverse of the degrees-to-radians rule.
Relationship context
Sensor output and calculus often use radians; reporting and UI may need degrees.
Quick conversion table
| Radian (rad) | Degree (deg) |
|---|---|
| 0.1 | 5.7295779513 |
| 1 | 57.2957795131 |
| 2 | 114.591559026 |
| 3 | 171.887338539 |
| 4 | 229.183118052 |
| 5 | 286.478897565 |
| 6 | 343.774677078 |
| 7 | 401.070456592 |
| 8 | 458.366236105 |
| 9 | 515.662015618 |
| Radian (rad) | Degree (deg) |
|---|---|
| 10 | 572.957795131 |
| 20 | 1,145.91559026 |
| 30 | 1,718.87338539 |
| 40 | 2,291.83118052 |
| 50 | 2,864.78897565 |
| 60 | 3,437.74677078 |
| 70 | 4,010.70456592 |
| 80 | 4,583.66236105 |
| 90 | 5,156.62015618 |
| 100 | 5,729.57795131 |
More Radian converters
Dedicated pages from Radian to every other hub angle unit (turn, deg, arcmin, arcsec, grad, rad, mrad, mil).
- rad to turn (Radian to Revolution)
- rad to quadrant (Radian to Quadrant)
- rad to sextant (Radian to Sextant)
- rad to deg (Radian to Degree)
- rad to arcmin (Radian to Arc Minute)
- rad to moa (Radian to Minute of Angle (MOA))
- rad to arcsec (Radian to Arc Second)
- rad to grad (Radian to Gradian)
- rad to mrad (Radian to Milliradian)
- rad to urad (Radian to Microradian)
- rad to mil (Radian to Mil)