VastCalc
Conversion
Angle Converter
Convert between degrees, radians, gradians, turns, arcminutes, and arcseconds.

Angle Converter

Convert between all common angle measurement units including degrees, radians, gradians, turns, arcminutes, arcseconds, and milliradians. Essential for math, engineering, navigation, and astronomy.

Angle measurements are used across mathematics, engineering, navigation, and astronomy. Different fields prefer different units.

Key Conversion Factors:

  • 1 full circle = 360° = 2π radians = 400 gradians = 1 turn
  • 1 radian = 180/π ≈ 57.2958°
  • 1 degree = π/180 ≈ 0.01745 radians
  • 1 gradian = 0.9° (400 gradians in a circle)
  • 1 degree = 60 arcminutes = 3,600 arcseconds

Unit Applications:

  • Degrees: everyday use, navigation, geography
  • Radians: mathematics, physics, engineering
  • Gradians: surveying, civil engineering
  • Arcminutes/arcseconds: astronomy, precision optics
  • Milliradians: military ballistics, telescopic sights

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