| radian | 1 rad | 2 rad | 3 rad | 4 rad | 5 rad | 6 rad | 7 rad | 8 rad | 9 rad | 10 rad | 11 rad | 12 rad | 13 rad | 14 rad | 15 rad | 16 rad | 17 rad | 18 rad | 19 rad | 20 rad | 21 rad | 22 rad | 23 rad | 24 rad | 25 rad | 26 rad | 27 rad | 28 rad | 29 rad | 30 rad | 31 rad | 32 rad | 33 rad | 34 rad | 35 rad | 36 rad | 37 rad | 38 rad | 39 rad | 40 rad | 41 rad | 42 rad | 43 rad | 44 rad | 45 rad | 46 rad | 47 rad | 48 rad | 49 rad | 50 rad | 51 rad | 52 rad | 53 rad | 54 rad | 55 rad | 56 rad | 57 rad | 58 rad | 59 rad | 60 rad | 61 rad | 62 rad | 63 rad | 64 rad | 65 rad | 66 rad | 67 rad | 68 rad | 69 rad | 70 rad | 71 rad | 72 rad | 73 rad | 74 rad | 75 rad | 76 rad | 77 rad | 78 rad | 79 rad | 80 rad | 81 rad | 82 rad | 83 rad | 84 rad | 85 rad | 86 rad | 87 rad | 88 rad | 89 rad | 90 rad | 91 rad | 92 rad | 93 rad | 94 rad | 95 rad | 96 rad | 97 rad | 98 rad | 99 rad | 100 rad |
| angular mil | 64,845.5597434 µ | 129,691.1194868 µ | 194,536.6792302 µ | 259,382.2389736 µ | 324,227.7987169 µ | 389,073.3584603 µ | 453,918.9182037 µ | 518,764.4779471 µ | 583,610.0376905 µ | 648,455.5974339 µ | 713,301.1571773 µ | 778,146.7169207 µ | 842,992.2766641 µ | 907,837.8364074 µ | 972,683.3961508 µ | 1,037,528.9558942 µ | 1,102,374.5156376 µ | 1,167,220.075381 µ | 1,232,065.6351244 µ | 1,296,911.1948678 µ | 1,361,756.7546112 µ | 1,426,602.3143545 µ | 1,491,447.8740979 µ | 1,556,293.4338413 µ | 1,621,138.9935847 µ | 1,685,984.5533281 µ | 1,750,830.1130715 µ | 1,815,675.6728149 µ | 1,880,521.2325583 µ | 1,945,366.7923016 µ | 2,010,212.352045 µ | 2,075,057.9117884 µ | 2,139,903.4715318 µ | 2,204,749.0312752 µ | 2,269,594.5910186 µ | 2,334,440.150762 µ | 2,399,285.7105054 µ | 2,464,131.2702487 µ | 2,528,976.8299921 µ | 2,593,822.3897355 µ | 2,658,667.9494789 µ | 2,723,513.5092223 µ | 2,788,359.0689657 µ | 2,853,204.6287091 µ | 2,918,050.1884525 µ | 2,982,895.7481959 µ | 3,047,741.3079392 µ | 3,112,586.8676826 µ | 3,177,432.427426 µ | 3,242,277.9871694 µ | 3,307,123.5469128 µ | 3,371,969.1066562 µ | 3,436,814.6663996 µ | 3,501,660.226143 µ | 3,566,505.7858863 µ | 3,631,351.3456297 µ | 3,696,196.9053731 µ | 3,761,042.4651165 µ | 3,825,888.0248599 µ | 3,890,733.5846033 µ | 3,955,579.1443467 µ | 4,020,424.7040901 µ | 4,085,270.2638335 µ | 4,150,115.8235768 µ | 4,214,961.3833202 µ | 4,279,806.9430636 µ | 4,344,652.502807 µ | 4,409,498.0625504 µ | 4,474,343.6222938 µ | 4,539,189.1820372 µ | 4,604,034.7417806 µ | 4,668,880.3015239 µ | 4,733,725.8612673 µ | 4,798,571.4210107 µ | 4,863,416.9807541 µ | 4,928,262.5404975 µ | 4,993,108.1002409 µ | 5,057,953.6599843 µ | 5,122,799.2197277 µ | 5,187,644.7794711 µ | 5,252,490.3392144 µ | 5,317,335.8989578 µ | 5,382,181.4587012 µ | 5,447,027.0184446 µ | 5,511,872.578188 µ | 5,576,718.1379314 µ | 5,641,563.6976748 µ | 5,706,409.2574182 µ | 5,771,254.8171615 µ | 5,836,100.3769049 µ | 5,900,945.9366483 µ | 5,965,791.4963917 µ | 6,030,637.0561351 µ | 6,095,482.6158785 µ | 6,160,328.1756219 µ | 6,225,173.7353653 µ | 6,290,019.2951086 µ | 6,354,864.854852 µ | 6,419,710.4145954 µ | 6,484,555.9743388 µ |
The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| radian | rad | The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians. | = 1 rad | Metric system SI |
| radians | angular mils | radians | angular mils |
|---|---|---|---|
| 1 | ≈ 64845.559743388 | 6 | ≈ 389073.35846033 |
| 2 | ≈ 129691.11948678 | 7 | ≈ 453918.91820372 |
| 3 | ≈ 194536.67923016 | 8 | ≈ 518764.47794711 |
| 4 | ≈ 259382.23897355 | 9 | ≈ 583610.03769049 |
| 5 | ≈ 324227.79871694 | 10 | ≈ 648455.59743388 |
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 | radians | angular mils | radians |
|---|---|---|---|
| 1 | ≈ 1.5421256350586E-5 | 6 | ≈ 9.2527538103513E-5 |
| 2 | ≈ 3.0842512701171E-5 | 7 | ≈ 0.0001079487944541 |
| 3 | ≈ 4.6263769051757E-5 | 8 | ≈ 0.00012337005080468 |
| 4 | ≈ 6.1685025402342E-5 | 9 | ≈ 0.00013879130715527 |
| 5 | ≈ 7.7106281752928E-5 | 10 | ≈ 0.00015421256350586 |
| radians | angular mils |
|---|---|
| 1 | ≈ 64,845.5597434 |
| 1.5421256350586 × 10-5 | ≈ 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 …) |