Degree (°)
The degree divides a full turn into 360 equal parts. It is the everyday unit for angles in geometry, navigation and engineering drawings; 180° equals π radians.
Symbol: ° (ASCII: deg)
Quantity: plane angle
SI relation: 1 ° = 0.01745329251994 rad (exact)
Derivation: 1° = π/180 rad exactly; a full turn is 360°.
Exact: yes, by definition
Typical uses
- Geometry, surveying and navigation
- Triangle and polygon angles
- Compass bearings and slopes
Convert degrees to other units
| Conversion | 1 ° equals | Reverse |
|---|---|---|
| degree to radian | 0.01745329252 rad | radian to degree |
| degree to gradian | 1.111111111 gon | gradian to degree |
| degree to revolution | 0.002777777778 rev | revolution to degree |
| degree to minute of arc | 60 ′ | minute of arc to degree |
| degree to second of arc | 3600 ″ | second of arc to degree |
Open the Angle Converter to convert any value between all units.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Degree (°). Retrieved October 25, 2026, from https://scientificconverters.com/units/degree/
IEEE
Scientific Converters, "Degree (°)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/units/degree/