Angle Conversion Calculator

Converting between angle units is straightforward:

1. Enter the angle value you want to convert
2. Select the source unit from the dropdown menu
3. Click the "Convert" button
4. View the converted values in all available angle units

The calculator automatically shows conversions to all common angle units, making it easy to find the measurement you need.

Our calculator supports these angle measurement units:

• Degrees (°): The most common unit, with 360° in a full circle
• Radians (rad): The standard unit in calculus and advanced mathematics, with 2π radians in a full circle
• Gradians (grad): Also called gons, with 400 gradians in a full circle
• Turns: Complete rotations, with 1 turn equal to a full circle

Here are the formulas used for angle conversions:

• Degrees to Radians:
  Radians = Degrees × (π/180)
• Radians to Degrees:
  Degrees = Radians × (180/π)
• Degrees to Gradians:
  Gradians = Degrees × (400/360)
• Degrees to Turns:
  Turns = Degrees ÷ 360

Here are some frequently used angles in different units:

• Right Angle: 90°, π/2 rad, 100 grad, 0.25 turns
• Straight Angle: 180°, π rad, 200 grad, 0.5 turns
• Full Circle: 360°, 2π rad, 400 grad, 1 turn
• 45 Degrees: 45°, π/4 rad, 50 grad, 0.125 turns
• 30 Degrees: 30°, π/6 rad, 33.33 grad, 0.0833 turns
• 60 Degrees: 60°, π/3 rad, 66.67 grad, 0.1667 turns

Angle conversion is essential in many fields:

• Mathematics: Trigonometry, calculus, and geometry calculations
• Engineering: Design, construction, and mechanical systems
• Physics: Angular motion, waves, and rotational dynamics
• Navigation: GPS systems, surveying, and mapping
• Computer Graphics: Animation, game development, and 3D modeling
• Astronomy: Celestial coordinates and orbital calculations