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Angle and rotation conversions.
1 radian = 57.295779513082 degrees
Formula: degrees = radians × 57.2957795131
Precision: Exact conversion factor.
| radian | degree |
|---|---|
| 0.6 | 34.3775 |
| 0.7 | 40.107 |
| 0.8 | 45.8366 |
| 0.9 | 51.5662 |
| 1 | 57.2958 |
| 1.1 | 63.0254 |
| 1.2 | 68.7549 |
| 1.3 | 74.4845 |
| 1.4 | 80.2141 |
Angles measure rotation or the difference between directions. Degrees are common in everyday use; radians are the SI unit and are preferred in mathematics and physics.
Derivatives and integrals of trigonometric functions are simpler in radians. This makes radians the natural choice in higher mathematics.
A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. It is rarely used today.