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 ° |
full circle | 0.0027778 circle | 0.0055556 circle | 0.0083333 circle | 0.0111111 circle | 0.0138889 circle | 0.0166667 circle | 0.0194444 circle | 0.0222222 circle | 0.025 circle | 0.0277778 circle | 0.0305556 circle | 0.0333333 circle | 0.0361111 circle | 0.0388889 circle | 0.0416667 circle | 0.0444444 circle | 0.0472222 circle | 0.05 circle | 0.0527778 circle | 0.0555556 circle | 0.0583333 circle | 0.0611111 circle | 0.0638889 circle | 0.0666667 circle | 0.0694444 circle | 0.0722222 circle | 0.075 circle | 0.0777778 circle | 0.0805556 circle | 0.0833333 circle | 0.0861111 circle | 0.0888889 circle | 0.0916667 circle | 0.0944444 circle | 0.0972222 circle | 0.1 circle | 0.1027778 circle | 0.1055556 circle | 0.1083333 circle | 0.1111111 circle | 0.1138889 circle | 0.1166667 circle | 0.1194444 circle | 0.1222222 circle | 0.125 circle | 0.1277778 circle | 0.1305556 circle | 0.1333333 circle | 0.1361111 circle | 0.1388889 circle | 0.1416667 circle | 0.1444444 circle | 0.1472222 circle | 0.15 circle | 0.1527778 circle | 0.1555556 circle | 0.1583333 circle | 0.1611111 circle | 0.1638889 circle | 0.1666667 circle | 0.1694444 circle | 0.1722222 circle | 0.175 circle | 0.1777778 circle | 0.1805556 circle | 0.1833333 circle | 0.1861111 circle | 0.1888889 circle | 0.1916667 circle | 0.1944444 circle | 0.1972222 circle | 0.2 circle | 0.2027778 circle | 0.2055556 circle | 0.2083333 circle | 0.2111111 circle | 0.2138889 circle | 0.2166667 circle | 0.2194444 circle | 0.2222222 circle | 0.225 circle | 0.2277778 circle | 0.2305556 circle | 0.2333333 circle | 0.2361111 circle | 0.2388889 circle | 0.2416667 circle | 0.2444444 circle | 0.2472222 circle | 0.25 circle | 0.2527778 circle | 0.2555556 circle | 0.2583333 circle | 0.2611111 circle | 0.2638889 circle | 0.2666667 circle | 0.2694444 circle | 0.2722222 circle | 0.275 circle | 0.2777778 circle |
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 | full circles | degrees | full circles |
---|---|---|---|
1 | ≈ 0.0027777777777778 | 6 | ≈ 0.016666666666667 |
2 | ≈ 0.0055555555555556 | 7 | ≈ 0.019444444444444 |
3 | ≈ 0.0083333333333333 | 8 | ≈ 0.022222222222222 |
4 | ≈ 0.011111111111111 | 9 | ≈ 0.025 |
5 | ≈ 0.013888888888889 | 10 | ≈ 0.027777777777778 |
Full circle is a traditional unit of plane angle. It is equal to 360 degrees. Plural name is full circles.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
full circle | circle | ≡ 360 ° | = 6.2831852 rad | Metric system SI |
full circles | degrees | full circles | degrees |
---|---|---|---|
1 | ≈ 360 | 6 | ≈ 2160 |
2 | ≈ 720 | 7 | ≈ 2520 |
3 | ≈ 1080 | 8 | ≈ 2880 |
4 | ≈ 1440 | 9 | ≈ 3240 |
5 | ≈ 1800 | 10 | ≈ 3600 |
degrees | full circles |
---|---|
1 | ≈ 0.0027778 |
360 | ≈ 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 …) |