Angle Converter

Convert between Degrees, Radians, and Gradians.

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Understanding Angle Conversion

Angles measure rotation or the space between two intersecting lines. Degrees are most intuitive, while radians are essential in mathematics and physics. A full circle equals 360° or 2π radians.

Unit Type Unit Name Value in Degrees (°) / Radians (rad)
Common Degree (°) 1° = 0.0174533 rad
Common Radian (rad) 1 rad = 57.2958°
Subdivision Minute (arcminute) 1' = 1/60°
Subdivision Second (arcsecond) 1" = 1/3600°
Alternative Gradian (grad) 1 grad = 0.9°
Reference Right Angle 90° = π/2 rad
Reference Straight Angle 180° = π rad
Reference Full Circle 360° = 2π rad

Conversion Tip

Angles measure rotation. Degrees are most common, while radians are essential in mathematics and physics. A full circle equals 360° or 2π radians.


Quick Reference

  • 1 degree = 0.0175 radians
  • 1 radian = 57.296 degrees
  • 90 degrees = π/2 radians
  • 180 degrees = π radians
  • 360 degrees = 2π radians
  • 1 minute (arcminute) = 1/60 degree
  • 1 second (arcsecond) = 1/3600 degree
  • 1 gradian = 0.9 degrees
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