Angle Conversion Calculator

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Formulas for Angle Conversion

  1. Degrees to Other Units:
    • To Radians:
      \text{Radians} = \text{Degrees} \times \frac{\pi}{180}
    • To Gradians:
      \text{Gradians} = \text{Degrees} \times \frac{10}{9}
  2. Radians to Other Units:
    • To Degrees:
      \text{Degrees} = \text{Radians} \times \frac{180}{\pi}
    • To Gradians:
      \text{Gradians} = \text{Radians} \times \frac{200}{\pi}
  3. Gradians to Other Units:
    • To Degrees:
      \text{Degrees} = \text{Gradians} \times 0.9
    • To Radians:
      \text{Radians} = \text{Gradians} \times \frac{\pi}{200}

Conversion Table

The table below shows the conversion between different units for common angles:

Input ValueDegrees (°)Radians (rad)Gradians (grad)
1°1\frac{\pi}{180} \approx 0.01745\frac{10}{9} \approx 1.111
1 rad\frac{180}{\pi} \approx 57.2961\frac{200}{\pi} \approx 63.662
1 grad0.90.90.9\frac{\pi}{200} \approx 0.015711
45°45\frac{\pi}{4} \approx 0.785450
90°90\frac{\pi}{2} \approx 1.5708100
180°180\pi \approx 3.1416200
360°3602\pi \approx 6.2832400