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 |
eighth circle | 1.2732396 1/8 circle | 2.5464791 1/8 circle | 3.8197187 1/8 circle | 5.0929583 1/8 circle | 6.3661978 1/8 circle | 7.6394374 1/8 circle | 8.9126770 1/8 circle | 10.1859165 1/8 circle | 11.4591561 1/8 circle | 12.7323957 1/8 circle | 14.0056352 1/8 circle | 15.2788748 1/8 circle | 16.5521144 1/8 circle | 17.8253539 1/8 circle | 19.0985935 1/8 circle | 20.3718331 1/8 circle | 21.6450726 1/8 circle | 22.9183122 1/8 circle | 24.1915518 1/8 circle | 25.4647913 1/8 circle | 26.7380309 1/8 circle | 28.0112705 1/8 circle | 29.2845100 1/8 circle | 30.5577496 1/8 circle | 31.8309892 1/8 circle | 33.1042287 1/8 circle | 34.3774683 1/8 circle | 35.6507079 1/8 circle | 36.9239474 1/8 circle | 38.1971870 1/8 circle | 39.4704266 1/8 circle | 40.7436661 1/8 circle | 42.0169057 1/8 circle | 43.2901453 1/8 circle | 44.5633848 1/8 circle | 45.8366244 1/8 circle | 47.1098640 1/8 circle | 48.3831035 1/8 circle | 49.6563431 1/8 circle | 50.9295827 1/8 circle | 52.2028222 1/8 circle | 53.4760618 1/8 circle | 54.7493014 1/8 circle | 56.0225409 1/8 circle | 57.2957805 1/8 circle | 58.5690201 1/8 circle | 59.8422596 1/8 circle | 61.1154992 1/8 circle | 62.3887388 1/8 circle | 63.6619783 1/8 circle | 64.9352179 1/8 circle | 66.2084575 1/8 circle | 67.4816970 1/8 circle | 68.7549366 1/8 circle | 70.0281762 1/8 circle | 71.3014157 1/8 circle | 72.5746553 1/8 circle | 73.8478949 1/8 circle | 75.1211344 1/8 circle | 76.3943740 1/8 circle | 77.6676136 1/8 circle | 78.9408531 1/8 circle | 80.2140927 1/8 circle | 81.4873323 1/8 circle | 82.7605718 1/8 circle | 84.0338114 1/8 circle | 85.3070510 1/8 circle | 86.5802905 1/8 circle | 87.8535301 1/8 circle | 89.1267697 1/8 circle | 90.4000092 1/8 circle | 91.6732488 1/8 circle | 92.9464884 1/8 circle | 94.2197279 1/8 circle | 95.4929675 1/8 circle | 96.7662071 1/8 circle | 98.0394466 1/8 circle | 99.3126862 1/8 circle | 100.5859257 1/8 circle | 101.8591653 1/8 circle | 103.1324049 1/8 circle | 104.4056444 1/8 circle | 105.6788840 1/8 circle | 106.9521236 1/8 circle | 108.2253631 1/8 circle | 109.4986027 1/8 circle | 110.7718423 1/8 circle | 112.0450818 1/8 circle | 113.3183214 1/8 circle | 114.5915610 1/8 circle | 115.8648005 1/8 circle | 117.1380401 1/8 circle | 118.4112797 1/8 circle | 119.6845192 1/8 circle | 120.9577588 1/8 circle | 122.2309984 1/8 circle | 123.5042379 1/8 circle | 124.7774775 1/8 circle | 126.0507171 1/8 circle | 127.3239566 1/8 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 | eighth circles | radians | eighth circles |
---|---|---|---|
1 | = 1.2732395664543 | 6 | = 7.6394373987257 |
2 | = 2.5464791329086 | 7 | = 8.91267696518 |
3 | = 3.8197186993629 | 8 | = 10.185916531634 |
4 | = 5.0929582658172 | 9 | = 11.459156098089 |
5 | = 6.3661978322714 | 10 | = 12.732395664543 |
1/8 circle or eighth circle is equal to 360/8 = 45°. Plural name is eighth circles.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
eighth circle | 1/8 circle | ≡ 45 ° | = 0.78539815 rad | Metric system SI |
eighth circles | radians | eighth circles | radians |
---|---|---|---|
1 | = 0.78539815 | 6 | = 4.7123889 |
2 | = 1.5707963 | 7 | = 5.49778705 |
3 | = 2.35619445 | 8 | = 6.2831852 |
4 | = 3.1415926 | 9 | = 7.06858335 |
5 | = 3.92699075 | 10 | = 7.8539815 |
radians | eighth circles |
---|---|
1 | = 1.2732396 |
0.7853982 | = 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 …) |