Degree (°)
Exactly π/180 radians (1/360 of a full turn).
What is a degree?
- Symbol
- °
- Quantity
- Angle
- Unit system
- SI-accepted
- Definition
- Exactly π/180 radians (1/360 of a full turn).
- Exact
- Yes, the value is exact by definition
- Source
- SI Brochure, 9th edition (BIPM, 2019)
Common applications
Used for everyday angles, compass headings, geography (latitude and longitude) and construction.
Degree in other angle units
- 1 ° ≈ 0.01745329252 radDegree to Radian converter
- 1 ° ≈ 17.45329252 mradDegree to Milliradian converter
- 1 ° = 60 ′Degree to Arcminute converter
- 1 ° = 3600 ″Degree to Arcsecond converter
- 1 ° ≈ 1.111111111 gradDegree to Gradian (gon) converter
- 1 ° ≈ 0.002777777778 revDegree to Turn (revolution) converter
Degree quick reference
| Degree | Radian | Milliradian | Arcminute |
|---|---|---|---|
| 1 ° | ≈ 0.01745329252 rad | ≈ 17.45329252 mrad | = 60 ′ |
| 10 ° | ≈ 0.1745329252 rad | ≈ 174.5329252 mrad | = 600 ′ |
| 100 ° | ≈ 1.745329252 rad | ≈ 1745.329252 mrad | = 6000 ′ |
| 1000 ° | ≈ 17.45329252 rad | ≈ 17453.29252 mrad | = 60000 ′ |
Where the degree fits
The next smaller angle unit is the gradian (grad). 1 ° ≈ 1.111111111 grad, and 1 grad = 0.9 °.
The next larger angle unit is the radian (rad). 1 ° ≈ 0.01745329252 rad, and 1 rad ≈ 57.29577951 °.
Frequently asked questions
- How many radians are in one degree?
- One degree ≈ 0.01745329252 rad (radians).
- How many milliradians are in one degree?
- One degree ≈ 17.45329252 mrad (milliradians).
- How many arcminutes are in one degree?
- One degree = 60 ′ (arcminutes).