About Angle Converter
Angles are fundamental measurements in mathematics, engineering, and navigation. The degree (°) is the most common unit of angle measurement, equal to 1/360 of a full circle.
Common Angle Units
- Degree (°): The most common unit of angle measurement, equal to 1/360 of a full circle. Used in everyday applications and most engineering contexts.
- Radian (rad): The SI unit of angle, defined as the angle subtended by an arc equal in length to the radius. Essential in calculus and advanced mathematics.
- Gradian (grad): A unit of angle equal to 1/400 of a full circle, used in surveying and some engineering applications.
- Minute of arc (arcmin): One sixtieth of a degree, commonly used in astronomy and navigation for precise measurements.
- Second of arc (arcsec): One sixtieth of a minute of arc, used for very precise angular measurements.
Applications
Angle conversions are essential in:
- Navigation: Compass bearings, GPS coordinates, and marine navigation
- Astronomy: Celestial observations and telescope positioning
- Engineering: Mechanical design, structural analysis, and rotation calculations
- Mathematics: Trigonometry, calculus, and geometric calculations
- Surveying: Land measurement and mapping applications
Conversion Examples
- 90° = π/2 radians (Right angle conversion)
- 180° = π radians (Straight angle conversion)
- 360° = 2π radians (Full circle conversion)
- 1° = 60 arcmin (Degree to minute of arc)
Use our angle converter to quickly convert between these and other angle units for your calculations and applications.
Common Conversions
Unit Definitions
Degree (°)
The most common unit of angle measurement, equal to 1/360 of a full circle.
Formula: 1° = π/180 radians
Radian (rad)
The SI unit of angle, defined as the angle subtended by an arc equal in length to the radius.
Formula: 1 rad = 180°/π
Gradian (grad)
A unit of angle equal to 1/400 of a full circle, used in surveying and some engineering applications.
Formula: 1 grad = 0.9°
Minute of arc (arcmin)
One sixtieth of a degree, commonly used in astronomy and navigation.
Formula: 1 arcmin = 1/60°
Second of arc (arcsec)
One sixtieth of a minute of arc, used for precise angular measurements.
Formula: 1 arcsec = 1/3600°