| turn | 1 turn | 2 turn | 3 turn | 4 turn | 5 turn | 6 turn | 7 turn | 8 turn | 9 turn | 10 turn | 11 turn | 12 turn | 13 turn | 14 turn | 15 turn | 16 turn | 17 turn | 18 turn | 19 turn | 20 turn | 21 turn | 22 turn | 23 turn | 24 turn | 25 turn | 26 turn | 27 turn | 28 turn | 29 turn | 30 turn | 31 turn | 32 turn | 33 turn | 34 turn | 35 turn | 36 turn | 37 turn | 38 turn | 39 turn | 40 turn | 41 turn | 42 turn | 43 turn | 44 turn | 45 turn | 46 turn | 47 turn | 48 turn | 49 turn | 50 turn | 51 turn | 52 turn | 53 turn | 54 turn | 55 turn | 56 turn | 57 turn | 58 turn | 59 turn | 60 turn | 61 turn | 62 turn | 63 turn | 64 turn | 65 turn | 66 turn | 67 turn | 68 turn | 69 turn | 70 turn | 71 turn | 72 turn | 73 turn | 74 turn | 75 turn | 76 turn | 77 turn | 78 turn | 79 turn | 80 turn | 81 turn | 82 turn | 83 turn | 84 turn | 85 turn | 86 turn | 87 turn | 88 turn | 89 turn | 90 turn | 91 turn | 92 turn | 93 turn | 94 turn | 95 turn | 96 turn | 97 turn | 98 turn | 99 turn | 100 turn |
| radian | 6.2831852 rad | 12.5663704 rad | 18.8495556 rad | 25.1327408 rad | 31.415926 rad | 37.6991112 rad | 43.9822964 rad | 50.2654816 rad | 56.5486668 rad | 62.831852 rad | 69.1150372 rad | 75.3982224 rad | 81.6814076 rad | 87.9645928 rad | 94.247778 rad | 100.5309632 rad | 106.8141484 rad | 113.0973336 rad | 119.3805188 rad | 125.663704 rad | 131.9468892 rad | 138.2300744 rad | 144.5132596 rad | 150.7964448 rad | 157.07963 rad | 163.3628152 rad | 169.6460004 rad | 175.9291856 rad | 182.2123708 rad | 188.495556 rad | 194.7787412 rad | 201.0619264 rad | 207.3451116 rad | 213.6282968 rad | 219.911482 rad | 226.1946672 rad | 232.4778524 rad | 238.7610376 rad | 245.0442228 rad | 251.327408 rad | 257.6105932 rad | 263.8937784 rad | 270.1769636 rad | 276.4601488 rad | 282.743334 rad | 289.0265192 rad | 295.3097044 rad | 301.5928896 rad | 307.8760748 rad | 314.15926 rad | 320.4424452 rad | 326.7256304 rad | 333.0088156 rad | 339.2920008 rad | 345.575186 rad | 351.8583712 rad | 358.1415564 rad | 364.4247416 rad | 370.7079268 rad | 376.991112 rad | 383.2742972 rad | 389.5574824 rad | 395.8406676 rad | 402.1238528 rad | 408.407038 rad | 414.6902232 rad | 420.9734084 rad | 427.2565936 rad | 433.5397788 rad | 439.822964 rad | 446.1061492 rad | 452.3893344 rad | 458.6725196 rad | 464.9557048 rad | 471.23889 rad | 477.5220752 rad | 483.8052604 rad | 490.0884456 rad | 496.3716308 rad | 502.654816 rad | 508.9380012 rad | 515.2211864 rad | 521.5043716 rad | 527.7875568 rad | 534.070742 rad | 540.3539272 rad | 546.6371124 rad | 552.9202976 rad | 559.2034828 rad | 565.486668 rad | 571.7698532 rad | 578.0530384 rad | 584.3362236 rad | 590.6194088 rad | 596.902594 rad | 603.1857792 rad | 609.4689644 rad | 615.7521496 rad | 622.0353348 rad | 628.31852 rad |
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 |
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 |
| turns | radians |
|---|---|
| 1 | = 6.2831852 |
| 0.1591549 | = 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 …) |