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 |
arcsecond | 206,264.8097656 " | 412,529.6195312 " | 618,794.4292968 " | 825,059.2390624 " | 1,031,324.048828 " | 1,237,588.8585936 " | 1,443,853.6683592 " | 1,650,118.4781248 " | 1,856,383.2878904 " | 2,062,648.0976559 " | 2,268,912.9074215 " | 2,475,177.7171871 " | 2,681,442.5269527 " | 2,887,707.3367183 " | 3,093,972.1464839 " | 3,300,236.9562495 " | 3,506,501.7660151 " | 3,712,766.5757807 " | 3,919,031.3855463 " | 4,125,296.1953119 " | 4,331,561.0050775 " | 4,537,825.8148431 " | 4,744,090.6246087 " | 4,950,355.4343743 " | 5,156,620.2441399 " | 5,362,885.0539055 " | 5,569,149.8636711 " | 5,775,414.6734367 " | 5,981,679.4832022 " | 6,187,944.2929678 " | 6,394,209.1027334 " | 6,600,473.912499 " | 6,806,738.7222646 " | 7,013,003.5320302 " | 7,219,268.3417958 " | 7,425,533.1515614 " | 7,631,797.961327 " | 7,838,062.7710926 " | 8,044,327.5808582 " | 8,250,592.3906238 " | 8,456,857.2003894 " | 8,663,122.010155 " | 8,869,386.8199206 " | 9,075,651.6296862 " | 9,281,916.4394518 " | 9,488,181.2492174 " | 9,694,446.0589829 " | 9,900,710.8687485 " | 10,106,975.678514 " | 10,313,240.48828 " | 10,519,505.298045 " | 10,725,770.107811 " | 10,932,034.917577 " | 11,138,299.727342 " | 11,344,564.537108 " | 11,550,829.346873 " | 11,757,094.156639 " | 11,963,358.966404 " | 12,169,623.77617 " | 12,375,888.585936 " | 12,582,153.395701 " | 12,788,418.205467 " | 12,994,683.015232 " | 13,200,947.824998 " | 13,407,212.634764 " | 13,613,477.444529 " | 13,819,742.254295 " | 14,026,007.06406 " | 14,232,271.873826 " | 14,438,536.683592 " | 14,644,801.493357 " | 14,851,066.303123 " | 15,057,331.112888 " | 15,263,595.922654 " | 15,469,860.73242 " | 15,676,125.542185 " | 15,882,390.351951 " | 16,088,655.161716 " | 16,294,919.971482 " | 16,501,184.781248 " | 16,707,449.591013 " | 16,913,714.400779 " | 17,119,979.210544 " | 17,326,244.02031 " | 17,532,508.830076 " | 17,738,773.639841 " | 17,945,038.449607 " | 18,151,303.259372 " | 18,357,568.069138 " | 18,563,832.878904 " | 18,770,097.688669 " | 18,976,362.498435 " | 19,182,627.3082 " | 19,388,892.117966 " | 19,595,156.927731 " | 19,801,421.737497 " | 20,007,686.547263 " | 20,213,951.357028 " | 20,420,216.166794 " | 20,626,480.976559 " |
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 | arcseconds | radians | arcseconds |
---|---|---|---|
1 | ≈ 206264.80976559 | 6 | ≈ 1237588.8585936 |
2 | ≈ 412529.61953119 | 7 | ≈ 1443853.6683592 |
3 | ≈ 618794.42929678 | 8 | ≈ 1650118.4781248 |
4 | ≈ 825059.23906238 | 9 | ≈ 1856383.2878904 |
5 | ≈ 1031324.048828 | 10 | ≈ 2062648.0976559 |
A second of arc, arcsecond (arcsec), arc second, or second arc is a unit of angular measurement equal to 1/3600 of one degree.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
arcsecond | " | ≡ 1°⁄3600 | ≈ 4.848137×10−6 rad | Metric system SI |
arcseconds | radians | arcseconds | radians |
---|---|---|---|
1 | ≈ 4.8481367283951E-6 | 6 | ≈ 2.908882037037E-5 |
2 | ≈ 9.6962734567901E-6 | 7 | ≈ 3.3936957098765E-5 |
3 | ≈ 1.4544410185185E-5 | 8 | ≈ 3.878509382716E-5 |
4 | ≈ 1.939254691358E-5 | 9 | ≈ 4.3633230555556E-5 |
5 | ≈ 2.4240683641975E-5 | 10 | ≈ 4.8481367283951E-5 |
radians | arcseconds |
---|---|
1 | ≈ 206,264.8097656 |
4.8481367283951 × 10-6 | ≈ 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 …) |