How to convert Degrees to Radians?
Enter a value in Degrees and the converter will instantly calculate the equivalent in Radians. All conversions are done locally in your browser for maximum speed and privacy.
Angle measurements in Degrees and Radians serve different disciplines. Degrees are intuitive for daily use, while radians are standard in mathematics and engineering.
What is the Degrees to Radians conversion formula?
Radians = Degrees × 0.0174533 For example, 100 Degrees × 0.0174533 = 1.74533 Radians.
Common Degrees to Radians conversions
| Degrees | Radians |
|---|---|
| 1 | 0.0174533 |
| 15 | 0.261799 |
| 30 | 0.523599 |
| 45 | 0.785398 |
| 60 | 1.0472 |
| 90 | 1.5708 |
| 120 | 2.0944 |
| 180 | 3.14159 |
| 270 | 4.71239 |
| 360 | 6.28319 |
How many Radians are in one Degrees?
One Degrees equals 0.0174533 Radians. Conversely, one Radians equals 57.2958 Degrees. Angle conversions are used in navigation, engineering, geometry and surveying.
- 1 Degrees = 0.0174533 Radians
- 15 Degrees = 0.261799 Radians
- 30 Degrees = 0.523599 Radians
What is the difference between Degrees and Radians?
Degrees divide a full rotation into 360 equal parts. They are the most common angle unit in everyday use and navigation. Radians are the SI unit of angle. One radian subtends an arc equal to the radius of the circle. A full circle is 2π radians.
How many Radians is 45 Degrees?
45 Degrees equals 0.785398 Radians. Enter any value in the converter above for an instant result.
How many Radians is 120 Degrees?
120 Degrees equals 2.0944 Radians. Enter any value in the converter above for an instant result.
Is one Degrees more or less than one Radians?
One Degrees equals 0.0174533 Radians, so one Degrees is smaller than one Radians.
Why would I need to convert Degrees to Radians?
Angle conversions between Degrees and Radians are used in navigation, construction, trigonometry, and CAD design work.