Angle
Angles can be expressed in several unit systems depending on the field. Degrees are the most familiar for everyday use, radians are standard in mathematics and physics, and gradians appear in surveying. Arcminutes and arcseconds are used in navigation, astronomy, and precise coordinate work. This converter helps move between those systems clearly.
Common conversions
| From | To |
|---|---|
| 180 Degree | 3.141593 Radian |
| 1 Radian | 57.29578 Degree |
| 360 Degree | 400 Gradian |
| 1 Degree | 60 Arcminute |
| 1 Degree | 3,600 Arcsecond |
| 90 Degree | 1.570796 Radian |
| 45 Degree | 50 Gradian |
| 1 Turn | 360 Degree |
Frequently asked questions
180 degrees equals π radians. This relationship is a core reference point in trigonometry and calculus.
A gradian divides a circle into 400 parts instead of 360. It is mainly used in surveying and some technical systems.
They are smaller subdivisions of a degree used when high precision matters, such as astronomy, navigation, and geographic coordinates. One degree equals 60 arcminutes and 3,600 arcseconds.
Multiply degrees by π/180. To go the other way, multiply radians by 180/π.