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 |
turn | 0.1591549 turn | 0.3183099 turn | 0.4774648 turn | 0.6366198 turn | 0.7957747 turn | 0.9549297 turn | 1.1140846 turn | 1.2732396 turn | 1.4323945 turn | 1.5915495 turn | 1.7507044 turn | 1.9098593 turn | 2.0690143 turn | 2.2281692 turn | 2.3873242 turn | 2.5464791 turn | 2.7056341 turn | 2.8647890 turn | 3.0239440 turn | 3.1830989 turn | 3.3422539 turn | 3.5014088 turn | 3.6605638 turn | 3.8197187 turn | 3.9788736 turn | 4.1380286 turn | 4.2971835 turn | 4.4563385 turn | 4.6154934 turn | 4.7746484 turn | 4.9338033 turn | 5.0929583 turn | 5.2521132 turn | 5.4112682 turn | 5.5704231 turn | 5.7295780 turn | 5.8887330 turn | 6.0478879 turn | 6.2070429 turn | 6.3661978 turn | 6.5253528 turn | 6.6845077 turn | 6.8436627 turn | 7.0028176 turn | 7.1619726 turn | 7.3211275 turn | 7.4802825 turn | 7.6394374 turn | 7.7985923 turn | 7.9577473 turn | 8.1169022 turn | 8.2760572 turn | 8.4352121 turn | 8.5943671 turn | 8.7535220 turn | 8.9126770 turn | 9.0718319 turn | 9.2309869 turn | 9.3901418 turn | 9.5492967 turn | 9.7084517 turn | 9.8676066 turn | 10.0267616 turn | 10.1859165 turn | 10.3450715 turn | 10.5042264 turn | 10.6633814 turn | 10.8225363 turn | 10.9816913 turn | 11.1408462 turn | 11.3000012 turn | 11.4591561 turn | 11.6183110 turn | 11.7774660 turn | 11.9366209 turn | 12.0957759 turn | 12.2549308 turn | 12.4140858 turn | 12.5732407 turn | 12.7323957 turn | 12.8915506 turn | 13.0507056 turn | 13.2098605 turn | 13.3690154 turn | 13.5281704 turn | 13.6873253 turn | 13.8464803 turn | 14.0056352 turn | 14.1647902 turn | 14.3239451 turn | 14.4831001 turn | 14.6422550 turn | 14.8014100 turn | 14.9605649 turn | 15.1197199 turn | 15.2788748 turn | 15.4380297 turn | 15.5971847 turn | 15.7563396 turn | 15.9154946 turn |
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 | turns | radians | turns |
---|---|---|---|
1 | = 0.15915494580679 | 6 | = 0.95492967484072 |
2 | = 0.31830989161357 | 7 | = 1.1140846206475 |
3 | = 0.47746483742036 | 8 | = 1.2732395664543 |
4 | = 0.63661978322714 | 9 | = 1.4323945122611 |
5 | = 0.79577472903393 | 10 | = 1.5915494580679 |
A turn is used in anglular measurement equal to 360 degrees. Plural name is turns.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
turn | turn | ≡ 360 ° | = 6.2831852 rad | Metric system SI |
turns | radians | turns | radians |
---|---|---|---|
1 | = 6.2831852 | 6 | = 37.6991112 |
2 | = 12.5663704 | 7 | = 43.9822964 |
3 | = 18.8495556 | 8 | = 50.2654816 |
4 | = 25.1327408 | 9 | = 56.5486668 |
5 | = 31.415926 | 10 | = 62.831852 |
radians | turns |
---|---|
1 | = 0.1591549 |
6.2831852 | = 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 …) |