Angle Converter

Popular Angle Conversions

• degree to radian
• radian to degree
• gradian to degree
• turn to degree
• arcminute to arcsecond

Complete List of Angle Units

All available angle units for conversion:

• degree [°]
• 1 radian [rad] = 57.2957795131 degree [°]
  radian to degree, degree to radian
• 1 degree [°] = 1.11111111111 gradian [gon]
  gradian to degree, degree to gradian
• 1 turn [tr] = 360 degree [°]
  turn to degree, degree to turn
• 1 degree [°] = 60 arcminute [′]
  arcminute to degree, degree to arcminute
• 1 degree [°] = 3600 arcsecond [″]
  arcsecond to degree, degree to arcsecond
• 1 degree [°] = 17.4532925199 milliradian [mrad]
  milliradian to degree, degree to milliradian

Angular Measurements

Angle conversion is crucial for navigation, engineering, astronomy, and mathematics. Covers degrees, radians, gradians, and specialized angular units.

Primary Systems

Degrees (360° circle), radians (2π circle), gradians (400 gon circle). Each system has specific applications and advantages.

Navigation Uses

Degrees with minutes and seconds for GPS coordinates. Mils for military applications. Compass bearings and magnetic declination.

Mathematical Context

Radians are natural for calculus and trigonometry. π radians = 180°. Many scientific formulas assume radian input.

Common Applications

Navigation and GPS, surveying and mapping, mechanical engineering, astronomy, mathematics, and computer graphics.

Conversion Tips

π radians = 180°. For quick conversion: degrees × π/180 = radians. 1 radian ≈ 57.3°. Right angle = 90° = π/2 radians.