Angle converter
Convert angles between degrees, radians, gradians (gon), arcminutes, arcseconds and full turns.
°
rad
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1 degree in other angle units
| Unit | Value |
|---|---|
| Radians (rad) | 0.01745329 rad |
| Gradians (gon) | 1.111111 gon |
| Arcminutes (′) | 60 ′ |
| Arcseconds (″) | 3,600 ″ |
| Turns (turn) | 0.002777778 turn |
About angle units
A full circle is 360 degrees, 2π radians or 400 gradians. The radian is the SI unit used in mathematics and physics; degrees are used in everyday life, navigation and construction; gradians appear in surveying. A degree divides into 60 arcminutes, and an arcminute into 60 arcseconds.
Where angle conversions are used
Angle conversions are used in trigonometry and programming, where functions expect radians, as well as in navigation, astronomy, surveying and woodworking.
Conversion factors use exact international definitions where they exist (for example 1 inch = 2.54 cm and 1 lb = 0.45359237 kg). Results are rounded for display only.