Degree ↔ Radian Converter

Convert between degrees and radians for angle measurements

How to Convert Between Degrees and Radians

Degrees to Radians

  1. Enter the angle in degrees
  2. Click "Convert to Radians"
  3. View the radian equivalent

Radians to Degrees

  1. Enter the angle in radians
  2. Click "Convert to Degrees"
  3. View the degree equivalent

Conversion Formulas

radians = degrees × (π/180)

degrees = radians × (180/π)

Where π (pi) ≈ 3.141592653589793

Common Angle Conversions

0°

= 0 rad

30°

≈ 0.5236 rad

45°

≈ 0.7854 rad

90°

≈ 1.5708 rad

180°

≈ 3.1416 rad

270°

≈ 4.7124 rad

360°

≈ 6.2832 rad

Practical Applications

  • Trigonometry calculations
  • Physics problems involving angular motion
  • Computer graphics and game development
  • Engineering design and analysis
  • Navigation and GPS systems

Understanding Radians

A radian is the standard unit of angular measure in mathematics. One radian is the angle created when the arc length equals the radius of the circle. A full circle (360°) equals 2π radians.