| degree | 1 ° | 2 ° | 3 ° | 4 ° | 5 ° | 6 ° | 7 ° | 8 ° | 9 ° | 10 ° | 11 ° | 12 ° | 13 ° | 14 ° | 15 ° | 16 ° | 17 ° | 18 ° | 19 ° | 20 ° | 21 ° | 22 ° | 23 ° | 24 ° | 25 ° | 26 ° | 27 ° | 28 ° | 29 ° | 30 ° | 31 ° | 32 ° | 33 ° | 34 ° | 35 ° | 36 ° | 37 ° | 38 ° | 39 ° | 40 ° | 41 ° | 42 ° | 43 ° | 44 ° | 45 ° | 46 ° | 47 ° | 48 ° | 49 ° | 50 ° | 51 ° | 52 ° | 53 ° | 54 ° | 55 ° | 56 ° | 57 ° | 58 ° | 59 ° | 60 ° | 61 ° | 62 ° | 63 ° | 64 ° | 65 ° | 66 ° | 67 ° | 68 ° | 69 ° | 70 ° | 71 ° | 72 ° | 73 ° | 74 ° | 75 ° | 76 ° | 77 ° | 78 ° | 79 ° | 80 ° | 81 ° | 82 ° | 83 ° | 84 ° | 85 ° | 86 ° | 87 ° | 88 ° | 89 ° | 90 ° | 91 ° | 92 ° | 93 ° | 94 ° | 95 ° | 96 ° | 97 ° | 98 ° | 99 ° | 100 ° |
| gradian | 1.1111111 grad | 2.2222222 grad | 3.3333333 grad | 4.4444444 grad | 5.5555556 grad | 6.6666667 grad | 7.7777778 grad | 8.8888889 grad | 10 grad | 11.1111111 grad | 12.2222222 grad | 13.3333333 grad | 14.4444444 grad | 15.5555556 grad | 16.6666667 grad | 17.7777778 grad | 18.8888889 grad | 20 grad | 21.1111111 grad | 22.2222222 grad | 23.3333333 grad | 24.4444444 grad | 25.5555556 grad | 26.6666667 grad | 27.7777778 grad | 28.8888889 grad | 30 grad | 31.1111111 grad | 32.2222222 grad | 33.3333333 grad | 34.4444444 grad | 35.5555556 grad | 36.6666667 grad | 37.7777778 grad | 38.8888889 grad | 40 grad | 41.1111111 grad | 42.2222222 grad | 43.3333333 grad | 44.4444444 grad | 45.5555556 grad | 46.6666667 grad | 47.7777778 grad | 48.8888889 grad | 50 grad | 51.1111111 grad | 52.2222222 grad | 53.3333333 grad | 54.4444444 grad | 55.5555556 grad | 56.6666667 grad | 57.7777778 grad | 58.8888889 grad | 60 grad | 61.1111111 grad | 62.2222222 grad | 63.3333333 grad | 64.4444444 grad | 65.5555556 grad | 66.6666667 grad | 67.7777778 grad | 68.8888889 grad | 70 grad | 71.1111111 grad | 72.2222222 grad | 73.3333333 grad | 74.4444444 grad | 75.5555556 grad | 76.6666667 grad | 77.7777778 grad | 78.8888889 grad | 80 grad | 81.1111111 grad | 82.2222222 grad | 83.3333333 grad | 84.4444444 grad | 85.5555556 grad | 86.6666667 grad | 87.7777778 grad | 88.8888889 grad | 90 grad | 91.1111111 grad | 92.2222222 grad | 93.3333333 grad | 94.4444444 grad | 95.5555556 grad | 96.6666667 grad | 97.7777778 grad | 98.8888889 grad | 100 grad | 101.1111111 grad | 102.2222222 grad | 103.3333333 grad | 104.4444444 grad | 105.5555556 grad | 106.6666667 grad | 107.7777778 grad | 108.8888889 grad | 110 grad | 111.1111111 grad |
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.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| degree | ° | ≡ 1⁄360 of a revolution ≡ π⁄180 rad | ≈ 17.453293×10−3 rad | Metric system SI |
| degrees | gradians | degrees | gradians |
|---|---|---|---|
| 1 | ≈ 1.1111111111111 | 6 | ≈ 6.6666666666667 |
| 2 | ≈ 2.2222222222222 | 7 | ≈ 7.7777777777778 |
| 3 | ≈ 3.3333333333333 | 8 | ≈ 8.8888888888889 |
| 4 | ≈ 4.4444444444444 | 9 | ≈ 10 |
| 5 | ≈ 5.5555555555556 | 10 | ≈ 11.111111111111 |
The gradian is a unit of measurement of an angle, equivalent to 1/400 of a turn, 9/10 of a degree, or π/200 of a radian.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| gradian | grad | ≡ 1⁄400 of a revolution ≡ π⁄200 rad ≡ 0.9° | ≈ 15.707963×10−3 rad | Metric system SI |
| gradians | degrees | gradians | degrees |
|---|---|---|---|
| 1 | ≈ 0.9 | 6 | ≈ 5.4 |
| 2 | ≈ 1.8 | 7 | ≈ 6.3 |
| 3 | ≈ 2.7 | 8 | ≈ 7.2 |
| 4 | ≈ 3.6 | 9 | ≈ 8.1 |
| 5 | ≈ 4.5 | 10 | ≈ 9 |
| degrees | gradians |
|---|---|
| 1 | ≈ 1.1111111 |
| 0.9 | ≈ 1 |
You can find the conversion in other languages in the following:
| 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 …) |