A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.
It is not an SI unit, as the SI unit of angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit.Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.
| Definition | Relation to SI units |
|---|---|
≡ 1⁄360 of a revolution ≡ π⁄180 rad |
| sextant | angular mil | sixth circle | revolution | quarter circle | eighth circle | arcminute | helf circle |
|---|---|---|---|---|---|---|---|
| 1 | 67,906.1102109 | 1 | 0.1666667 | 0.6666667 | 1.3333333 | 3 600 | 0.3333333 |
| 1.47262153125 × 10-5 | 1 | 1.47262153125 × 10-5 | 2.45436921875 × 10-6 | 9.817476875 × 10-6 | 1.963495375 × 10-5 | 0.0530144 | 4.9087384375 × 10-6 |
| 1 | 67,906.1102109 | 1 | 0.1666667 | 0.6666667 | 1.3333333 | 3 600 | 0.3333333 |
| 6 | 407,436.6612654 | 6 | 1 | 4 | 8 | 21 600 | 2 |
| 1.5 | 101,859.1653163 | 1.5 | 0.25 | 1 | 2 | 5 400 | 0.5 |
| 0.75 | 50,929.5826582 | 0.75 | 0.125 | 0.5 | 1 | 2 700 | 0.25 |
| 0.0002778 | 18.8628084 | 0.0002778 | 4.6296296296296 × 10-5 | 0.0001852 | 0.0003704 | 1 | 9.2592592592593 × 10-5 |
| 3 | 203,718.3306327 | 3 | 0.5 | 2 | 4 | 10 800 | 1 |
| Symbol | Definition |
|---|---|
| ≡ | exactly equal |
| ≈ | approximately equal to |
| = | equal to |
| digits | indicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369 …) |
| 1 degrees | = 0.017453292222222 radians |
| 2 degrees | = 0.034906584444444 radians |
| 3 degrees | = 0.052359876666667 radians |
| 4 degrees | = 0.069813168888889 radians |
| 5 degrees | = 0.087266461111111 radians |