Degrees to Radians Converter
Convert between degrees and radians instantly.
Convert
1 rad = 180/π ≈ 57.2958°
Result
Enter a value and click convert.
Common conversions
- • 30° = π/6 rad
- • 45° = π/4 rad
- • 60° = π/3 rad
- • 90° = π/2 rad
- • 180° = π rad
- • 360° = 2π rad
Frequently Asked Questions
How do I convert degrees to radians?▾
Multiply the degree value by π/180. For example, 90° × π/180 = π/2 radians ≈ 1.5708.
How do I convert radians to degrees?▾
Multiply the radian value by 180/π. For example, π/4 × 180/π = 45°.
Why are radians used in math?▾
Radians are the natural unit for angles in calculus and analysis: derivatives and series for sin, cos, and friends are clean only when angles are in radians.
How many radians are in a full circle?▾
Exactly 2π radians, which equals 360°. Half a circle is π radians (180°), and a quarter is π/2 (90°).