Radians to Degrees Converter 2025 - rad to deg Calculator | Thiyagi

Radians to Degrees Converter

Convert between radians and degrees for angle measurements, trigonometry calculations, and mathematical applications

1 rad = 57.2958° (180/π)
1° = 0.01745 rad (π/180)
Enter a value to see the conversion result

Common Angle Conversions

Radians ⇔ Degrees
0 rad ⇔ 0°
π/6 ≈ 0.524 rad ⇔ 30°
π/4 ≈ 0.785 rad ⇔ 45°
π/3 ≈ 1.047 rad ⇔ 60°
π/2 ≈ 1.571 rad ⇔ 90°
π ≈ 3.142 rad ⇔ 180°
2π ≈ 6.283 rad ⇔ 360°

Mathematical Applications

Trigonometry:
• Unit circle calculations
• Sine, cosine, tangent functions
• Periodic function analysis
• Fourier transforms
Engineering:
• Rotation measurements
• Angular velocity (rad/s)
• Phase angles in AC circuits
• Mechanical rotations
Physics:
• Wave mechanics
• Quantum mechanics phases
• Oscillatory motion
• Circular motion analysis

Angle Units

  • Radian: Arc length = radius
  • Degree: 1/360 of full circle
  • π radians: 180 degrees
  • Full circle: 2π rad = 360°

Usage Tips

  • Radians for calculus
  • Degrees for navigation
  • π-based fractions common
  • Scientific calculations use rad

Applications

  • Mathematics: Calculus, trigonometry
  • Engineering: Rotational systems
  • Navigation: Bearing calculations
  • Graphics: Computer rotations