Degrees (°)
The degree is the most common unit of angle: a full rotation is 360 degrees and a right angle 90.
Convert degrees to any angle unit
1 degree = 0.01745329252 radians
Quick facts
1 degree in other units
| Radians | 0.01745329252 rad |
| Arcminutes | 60 ′ |
| Arcseconds | 3,600 ″ |
| Gradians | 1.111111111 grad |
| Milliradians | 17.45329252 mrad |
| Turns | 0.002777777778 tr |
| NATO mils | 17.77777778 mil |
What is a degree?
The degree is the most common unit of angle: a full rotation is 360 degrees and a right angle 90. It is used in geometry, navigation (compass bearings and latitude/longitude), construction and everyday life.
Where the degree sits among angle units
The degree is number 13 of 24 on our scale of angle units, ordered from smallest to largest.
What degrees are used for
- Geometry and trigonometry
- Compass bearings and map coordinates
- Roof pitch and slopes
- Rotation in graphics and games
Degrees in real life
- A right angle is 90°
- The Leaning Tower of Pisa tilts about 4°
- The Earth rotates 15° per hour
- Latitude runs from 0° at the equator to 90° at the poles
Top degree conversions
Common amounts of degrees
- 0.1 °
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- 1,000 °
- 1,200 °
- 1,500 °
- 2,000 °
- 2,500 °
- 3,000 °
- 4,000 °
- 5,000 °
- 10,000 °
Convert degrees to all 23 other units
Common
Astronomy & precision
Traditional & military
Convert to degrees
Frequently asked questions
What is a degree?
The degree is the most common unit of angle: a full rotation is 360 degrees and a right angle 90.
How is the degree defined?
1/360 of a full circle (π/180 rad).
How many radians are in a degree?
One degree equals 0.01745329252 radians.
How many arcminutes are in a degree?
One degree equals 60 arcminutes.
How many arcseconds are in a degree?
One degree equals 3,600 arcseconds.