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 |
twelfth circle | 1.9098593 1/12 circle | 3.8197187 1/12 circle | 5.7295780 1/12 circle | 7.6394374 1/12 circle | 9.5492967 1/12 circle | 11.4591561 1/12 circle | 13.3690154 1/12 circle | 15.2788748 1/12 circle | 17.1887341 1/12 circle | 19.0985935 1/12 circle | 21.0084528 1/12 circle | 22.9183122 1/12 circle | 24.8281715 1/12 circle | 26.7380309 1/12 circle | 28.6478902 1/12 circle | 30.5577496 1/12 circle | 32.4676089 1/12 circle | 34.3774683 1/12 circle | 36.2873276 1/12 circle | 38.1971870 1/12 circle | 40.1070463 1/12 circle | 42.0169057 1/12 circle | 43.9267650 1/12 circle | 45.8366244 1/12 circle | 47.7464837 1/12 circle | 49.6563431 1/12 circle | 51.5662024 1/12 circle | 53.4760618 1/12 circle | 55.3859211 1/12 circle | 57.2957805 1/12 circle | 59.2056398 1/12 circle | 61.1154992 1/12 circle | 63.0253585 1/12 circle | 64.9352179 1/12 circle | 66.8450772 1/12 circle | 68.7549366 1/12 circle | 70.6647959 1/12 circle | 72.5746553 1/12 circle | 74.4845146 1/12 circle | 76.3943740 1/12 circle | 78.3042333 1/12 circle | 80.2140927 1/12 circle | 82.1239520 1/12 circle | 84.0338114 1/12 circle | 85.9436707 1/12 circle | 87.8535301 1/12 circle | 89.7633894 1/12 circle | 91.6732488 1/12 circle | 93.5831081 1/12 circle | 95.4929675 1/12 circle | 97.4028268 1/12 circle | 99.3126862 1/12 circle | 101.2225455 1/12 circle | 103.1324049 1/12 circle | 105.0422642 1/12 circle | 106.9521236 1/12 circle | 108.8619829 1/12 circle | 110.7718423 1/12 circle | 112.6817016 1/12 circle | 114.5915610 1/12 circle | 116.5014203 1/12 circle | 118.4112797 1/12 circle | 120.3211390 1/12 circle | 122.2309984 1/12 circle | 124.1408577 1/12 circle | 126.0507171 1/12 circle | 127.9605764 1/12 circle | 129.8704358 1/12 circle | 131.7802951 1/12 circle | 133.6901545 1/12 circle | 135.6000138 1/12 circle | 137.5098732 1/12 circle | 139.4197325 1/12 circle | 141.3295919 1/12 circle | 143.2394512 1/12 circle | 145.1493106 1/12 circle | 147.0591699 1/12 circle | 148.9690293 1/12 circle | 150.8788886 1/12 circle | 152.7887480 1/12 circle | 154.6986073 1/12 circle | 156.6084667 1/12 circle | 158.5183260 1/12 circle | 160.4281854 1/12 circle | 162.3380447 1/12 circle | 164.2479041 1/12 circle | 166.1577634 1/12 circle | 168.0676228 1/12 circle | 169.9774821 1/12 circle | 171.8873415 1/12 circle | 173.7972008 1/12 circle | 175.7070602 1/12 circle | 177.6169195 1/12 circle | 179.5267789 1/12 circle | 181.4366382 1/12 circle | 183.3464976 1/12 circle | 185.2563569 1/12 circle | 187.1662163 1/12 circle | 189.0760756 1/12 circle | 190.9859350 1/12 circle |
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 | twelfth circles | radians | twelfth circles |
---|---|---|---|
1 | = 1.9098593496814 | 6 | = 11.459156098089 |
2 | = 3.8197186993629 | 7 | = 13.36901544777 |
3 | = 5.7295780490443 | 8 | = 15.278874797451 |
4 | = 7.6394373987257 | 9 | = 17.188734147133 |
5 | = 9.5492967484072 | 10 | = 19.098593496814 |
1/12 circle or twelfth circle is equal to 360°/12 = 30°. Plural name is twelfth circles.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
twelfth circle | 1/12 circle | ≡ 30° | = 0.523598767 rad | Metric system SI |
twelfth circles | radians | twelfth circles | radians |
---|---|---|---|
1 | = 0.52359876666667 | 6 | = 3.1415926 |
2 | = 1.0471975333333 | 7 | = 3.6651913666667 |
3 | = 1.5707963 | 8 | = 4.1887901333333 |
4 | = 2.0943950666667 | 9 | = 4.7123889 |
5 | = 2.6179938333333 | 10 | = 5.2359876666667 |
radians | twelfth circles |
---|---|
1 | = 1.9098593 |
0.5235988 | = 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 …) |