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Angle conversions are used in geometry, navigation, and engineering, from degrees (the everyday unit) to radians (used in mathematics and physics).
The degree is the most common everyday angle unit, the radian is used in mathematics and physics, and the grade is used notably in surveying. A full turn is 360°, or about 6.2832 radians or 400 grades. Here is a conversion table for the most searched values:
| Degree | Radian | Grade (gon) |
|---|---|---|
| 30° | 0.5236 rad | 33.33 gon |
| 45° | 0.7854 rad | 50 gon |
| 60° | 1.0472 rad | 66.67 gon |
| 90° | 1.5708 rad | 100 gon |
| 180° | 3.1416 rad | 200 gon |
| 360° | 6.2832 rad | 400 gon |
For a precise value not listed here, use the converter above.