Convert Radians to Degrees Calculator

Free online calculator to convert radians to degrees and degrees to radians instantly. Accurate angle conversion tool for mathematics, engineering, and trigonometry calculations.

How to Convert Radians to Degrees

Radians and degrees are two different units for measuring angles. The conversion between them is based on the fact that a full circle is 360 degrees or 2π radians.

1 radian = 180/π degrees ≈ 57.2958°

1 degree = π/180 radians ≈ 0.0174533 rad

2π radians = 360 degrees

To convert radians to degrees, multiply the number of radians by 180/π (or approximately 57.2958).

To convert degrees to radians, multiply the number of degrees by π/180 (or approximately 0.0174533).

Conversion Examples

π radians = 180 degrees

π/2 radians = 90 degrees

π/4 radians = 45 degrees

1 radian ≈ 57.2958 degrees

90 degrees = π/2 radians ≈ 1.5708 radians

180 degrees = π radians ≈ 3.1416 radians

360 degrees = 2π radians ≈ 6.2832 radians

Common Uses

  • Trigonometry and calculus calculations
  • Engineering and physics problems
  • Computer graphics and game development
  • Navigation and GPS calculations
  • Scientific research and data analysis

Frequently Asked Questions

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