Angle Converter
1.57
90 ° = 1.57 rad
Common Angles
| Degrees | Radians | Gradians | Turns |
|---|---|---|---|
| 0° | 0 | 0 grad | 0 |
| 30° | π/6 ≈ 0.5236 | 33.33 grad | 1/12 |
| 45° | π/4 ≈ 0.7854 | 50 grad | 1/8 |
| 60° | π/3 ≈ 1.0472 | 66.67 grad | 1/6 |
| 90° | π/2 ≈ 1.5708 | 100 grad | 1/4 |
| 120° | 2π/3 ≈ 2.0944 | 133.33 grad | 1/3 |
| 180° | π ≈ 3.1416 | 200 grad | 1/2 |
| 270° | 3π/2 ≈ 4.7124 | 300 grad | 3/4 |
| 360° | 2π ≈ 6.2832 | 400 grad | 1 |
Trigonometric Values
| Angle | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 = 0.5 | √3/2 ≈ 0.866 | 1/√3 ≈ 0.577 |
| 45° | √2/2 ≈ 0.707 | √2/2 ≈ 0.707 | 1 |
| 60° | √3/2 ≈ 0.866 | 1/2 = 0.5 | √3 ≈ 1.732 |
| 90° | 1 | 0 | undefined |
| 120° | √3/2 ≈ 0.866 | -1/2 = -0.5 | -√3 ≈ -1.732 |
| 180° | 0 | -1 | 0 |
Geometry Reference
TriangleInterior angles sum to 180°
QuadrilateralInterior angles sum to 360°
Regular pentagonInterior angle = 108°
Regular hexagonInterior angle = 120°
Regular octagonInterior angle = 135°
Right angleExactly 90° (π/2 rad)
Straight angleExactly 180° (π rad)
Full rotationExactly 360° (2π rad)
Quick Tips
Degrees to Radians
Multiply degrees by π/180. Example: 90° × π/180 = π/2 ≈ 1.5708 rad
Radians to Degrees
Multiply radians by 180/π. Example: π rad × 180/π = 180°
Gradians
A right angle = 100 grad. Full circle = 400 grad. Used in surveying and some European countries.
Polygon Interior Angle
For a regular n-sided polygon: interior angle = (n-2) × 180° ÷ n