Degrees ↔ Radians Converter
Convert degrees to radians or radians to degrees quickly and accurately. Essential for trigonometry, calculus, physics, and engineering work.
Units:
Value:
Decimal Places:
Conversion Table
| Degrees | Radians |
|---|---|
| 0 | 0 |
| 15 | 0.2618 |
| 30 | 0.5236 |
| 45 | 0.7854 |
| 60 | 1.0472 |
| 90 | 1.5708 |
| 120 | 2.0944 |
| 135 | 2.35619 |
| 150 | 2.61799 |
| 180 | 3.14159 |
| 210 | 3.66519 |
| 225 | 3.92699 |
| 240 | 4.18879 |
| 270 | 4.71239 |
| 300 | 5.23599 |
| 315 | 5.49779 |
| 330 | 5.75959 |
| 360 | 6.28319 |
Degrees and Radians 🔄
Degrees and radians are two ways to measure the same angles. Degrees are intuitive, while radians are mathematically natural and widely used in programming, physics, and calculus.
Key Facts
- 180° = π radians, 360° = 2π radians.
- Radians are essential for trigonometric functions in most programming languages.
- Always ensure the units match in formulas to prevent errors.
Formulas
radians = degrees × (π / 180)- Convert degrees to radians.degrees = radians × (180 / π)- Convert radians to degrees.
Quick Examples
- 90° = π/2 radians
- 45° = π/4 radians
- 180° = π radians
- 270° = 3π/2 radians
FAQs
Why do programming languages use radians for trig functions?
Radians simplify calculations and align with calculus formulas. Functions like sin(), cos(), and tan() expect radians.
How do I quickly estimate radians from degrees?
Remember: 180° ≈ π radians. Divide degrees by 180 and multiply by π for an estimate.