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:

• turn [tr]
• 1 turn [tr] = 180 degree [°]
  degree to turn, turn to degree
• 1 turn [tr] = 3.1415927 radian [rad]
  radian to turn, turn to radian
• 1 turn [tr] = 200 gradian [gon]
  gradian to turn, turn to gradian
• 1 turn [tr] = 10800 arcminute [′]
  arcminute to turn, turn to arcminute
• 1 turn [tr] = 648000 arcsecond [″]
  arcsecond to turn, turn to arcsecond
• 1 turn [tr] = 3141.5927 milliradian [mrad]
  milliradian to turn, turn to milliradian
• 1 turn [tr] = 32 point [pt]
  point to turn, turn to point
• 1 turn [tr] = 4 quadrant [quad]
  quadrant to turn, turn to quadrant
• 1 turn [tr] = 6 sextant [sxt]
  sextant to turn, turn to sextant
• 1 turn [tr] = 8 octant [oct]
  octant to turn, turn to octant
• 1 turn [tr] = 256 binary degree [brad]
  binary degree to turn, turn to binary degree

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.