| 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 ° |
| angular mil | 1,131.7685035 µ | 2,263.5370070 µ | 3,395.3055105 µ | 4,527.0740141 µ | 5,658.8425176 µ | 6,790.6110211 µ | 7,922.3795246 µ | 9,054.1480281 µ | 10,185.9165316 µ | 11,317.6850351 µ | 12,449.4535387 µ | 13,581.2220422 µ | 14,712.9905457 µ | 15,844.7590492 µ | 16,976.5275527 µ | 18,108.2960562 µ | 19,240.0645598 µ | 20,371.8330633 µ | 21,503.6015668 µ | 22,635.3700703 µ | 23,767.1385738 µ | 24,898.9070773 µ | 26,030.6755808 µ | 27,162.4440844 µ | 28,294.2125879 µ | 29,425.9810914 µ | 30,557.7495949 µ | 31,689.5180984 µ | 32,821.2866019 µ | 33,953.0551054 µ | 35,084.8236090 µ | 36,216.5921125 µ | 37,348.3606160 µ | 38,480.1291195 µ | 39,611.8976230 µ | 40,743.6661265 µ | 41,875.4346301 µ | 43,007.2031336 µ | 44,138.9716371 µ | 45,270.7401406 µ | 46,402.5086441 µ | 47,534.2771476 µ | 48,666.0456511 µ | 49,797.8141547 µ | 50,929.5826582 µ | 52,061.3511617 µ | 53,193.1196652 µ | 54,324.8881687 µ | 55,456.6566722 µ | 56,588.4251757 µ | 57,720.1936793 µ | 58,851.9621828 µ | 59,983.7306863 µ | 61,115.4991898 µ | 62,247.2676933 µ | 63,379.0361968 µ | 64,510.8047004 µ | 65,642.5732039 µ | 66,774.3417074 µ | 67,906.1102109 µ | 69,037.8787144 µ | 70,169.6472179 µ | 71,301.4157214 µ | 72,433.1842250 µ | 73,564.9527285 µ | 74,696.7212320 µ | 75,828.4897355 µ | 76,960.2582390 µ | 78,092.0267425 µ | 79,223.7952460 µ | 80,355.5637496 µ | 81,487.3322531 µ | 82,619.1007566 µ | 83,750.8692601 µ | 84,882.6377636 µ | 86,014.4062671 µ | 87,146.1747706 µ | 88,277.9432742 µ | 89,409.7117777 µ | 90,541.4802812 µ | 91,673.2487847 µ | 92,805.0172882 µ | 93,936.7857917 µ | 95,068.5542953 µ | 96,200.3227988 µ | 97,332.0913023 µ | 98,463.8598058 µ | 99,595.6283093 µ | 100,727.3968128 µ | 101,859.1653163 µ | 102,990.9338199 µ | 104,122.7023234 µ | 105,254.4708269 µ | 106,386.2393304 µ | 107,518.0078339 µ | 108,649.7763374 µ | 109,781.5448410 µ | 110,913.3133445 µ | 112,045.0818480 µ | 113,176.8503515 µ |
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 | angular mils | degrees | angular mils |
|---|---|---|---|
| 1 | ≈ 1131.7685035149 | 6 | ≈ 6790.6110210895 |
| 2 | ≈ 2263.5370070298 | 7 | ≈ 7922.3795246045 |
| 3 | ≈ 3395.3055105448 | 8 | ≈ 9054.1480281194 |
| 4 | ≈ 4527.0740140597 | 9 | ≈ 10185.916531634 |
| 5 | ≈ 5658.8425175746 | 10 | ≈ 11317.685035149 |
A angular mil is the unit of angular measurement equal to 1/6400 of a complete circle. At 1000 metres one mil subtends about one metre (~0,98 m). Also 1/6000 and 1/6300 are used in other countries.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| angular mil | µ | ≡ 2π⁄6400 rad | ≈ 0.981748×10−3 rad | Metric system SI |
| angular mils | degrees | angular mils | degrees |
|---|---|---|---|
| 1 | ≈ 0.00088357291875 | 6 | ≈ 0.0053014375125 |
| 2 | ≈ 0.0017671458375 | 7 | ≈ 0.00618501043125 |
| 3 | ≈ 0.00265071875625 | 8 | ≈ 0.00706858335 |
| 4 | ≈ 0.003534291675 | 9 | ≈ 0.00795215626875 |
| 5 | ≈ 0.00441786459375 | 10 | ≈ 0.0088357291875 |
| degrees | angular mils |
|---|---|
| 1 | ≈ 1,131.7685035 |
| 0.0008836 | ≈ 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 …) |