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Convert angles from degrees to radians. Get both exact form (in terms of π) and decimal approximation.
| Degrees | Radians (Exact) | Radians (Decimal) |
|---|---|---|
| 0° | 0 | 0.0000 |
| 30° | π/6 | 0.5236 |
| 45° | π/4 | 0.7854 |
| 60° | π/3 | 1.0472 |
| 90° | π/2 | 1.5708 |
| 120° | 2π/3 | 2.0944 |
| 180° | π | 3.1416 |
| 270° | 3π/2 | 4.7124 |
| 360° | 2π | 6.2832 |
Radians are the natural unit for measuring angles in mathematics and physics because they simplify many formulas:
A radian is the angle subtended at the center of a circle by an arc equal in length to the radius. One full circle = 2π radians = 360°.
Since 180° = π radians, dividing by 180 and multiplying by π converts degrees to radians.
Use exact form (π/4, π/3) for mathematical proofs and exact calculations. Use decimal for numerical computations and programming.