| arcsecond | 1 " | 2 " | 3 " | 4 " | 5 " | 6 " | 7 " | 8 " | 9 " | 10 " | 11 " | 12 " | 13 " | 14 " | 15 " | 16 " | 17 " | 18 " | 19 " | 20 " | 21 " | 22 " | 23 " | 24 " | 25 " | 26 " | 27 " | 28 " | 29 " | 30 " | 31 " | 32 " | 33 " | 34 " | 35 " | 36 " | 37 " | 38 " | 39 " | 40 " | 41 " | 42 " | 43 " | 44 " | 45 " | 46 " | 47 " | 48 " | 49 " | 50 " | 51 " | 52 " | 53 " | 54 " | 55 " | 56 " | 57 " | 58 " | 59 " | 60 " | 61 " | 62 " | 63 " | 64 " | 65 " | 66 " | 67 " | 68 " | 69 " | 70 " | 71 " | 72 " | 73 " | 74 " | 75 " | 76 " | 77 " | 78 " | 79 " | 80 " | 81 " | 82 " | 83 " | 84 " | 85 " | 86 " | 87 " | 88 " | 89 " | 90 " | 91 " | 92 " | 93 " | 94 " | 95 " | 96 " | 97 " | 98 " | 99 " | 100 " |
| gradian | 0.0003086 grad | 0.0006173 grad | 0.0009259 grad | 0.0012346 grad | 0.0015432 grad | 0.0018519 grad | 0.0021605 grad | 0.0024691 grad | 0.0027778 grad | 0.0030864 grad | 0.0033951 grad | 0.0037037 grad | 0.0040123 grad | 0.0043210 grad | 0.0046296 grad | 0.0049383 grad | 0.0052469 grad | 0.0055556 grad | 0.0058642 grad | 0.0061728 grad | 0.0064815 grad | 0.0067901 grad | 0.0070988 grad | 0.0074074 grad | 0.0077160 grad | 0.0080247 grad | 0.0083333 grad | 0.0086420 grad | 0.0089506 grad | 0.0092593 grad | 0.0095679 grad | 0.0098765 grad | 0.0101852 grad | 0.0104938 grad | 0.0108025 grad | 0.0111111 grad | 0.0114198 grad | 0.0117284 grad | 0.0120370 grad | 0.0123457 grad | 0.0126543 grad | 0.0129630 grad | 0.0132716 grad | 0.0135802 grad | 0.0138889 grad | 0.0141975 grad | 0.0145062 grad | 0.0148148 grad | 0.0151235 grad | 0.0154321 grad | 0.0157407 grad | 0.0160494 grad | 0.0163580 grad | 0.0166667 grad | 0.0169753 grad | 0.0172840 grad | 0.0175926 grad | 0.0179012 grad | 0.0182099 grad | 0.0185185 grad | 0.0188272 grad | 0.0191358 grad | 0.0194444 grad | 0.0197531 grad | 0.0200617 grad | 0.0203704 grad | 0.0206790 grad | 0.0209877 grad | 0.0212963 grad | 0.0216049 grad | 0.0219136 grad | 0.0222222 grad | 0.0225309 grad | 0.0228395 grad | 0.0231481 grad | 0.0234568 grad | 0.0237654 grad | 0.0240741 grad | 0.0243827 grad | 0.0246914 grad | 0.025 grad | 0.0253086 grad | 0.0256173 grad | 0.0259259 grad | 0.0262346 grad | 0.0265432 grad | 0.0268519 grad | 0.0271605 grad | 0.0274691 grad | 0.0277778 grad | 0.0280864 grad | 0.0283951 grad | 0.0287037 grad | 0.0290123 grad | 0.0293210 grad | 0.0296296 grad | 0.0299383 grad | 0.0302469 grad | 0.0305556 grad | 0.0308642 grad |
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 | gradians | arcseconds | gradians |
|---|---|---|---|
| 1 | ≈ 0.00030864197530864 | 6 | ≈ 0.0018518518518519 |
| 2 | ≈ 0.00061728395061728 | 7 | ≈ 0.0021604938271605 |
| 3 | ≈ 0.00092592592592593 | 8 | ≈ 0.0024691358024691 |
| 4 | ≈ 0.0012345679012346 | 9 | ≈ 0.0027777777777778 |
| 5 | ≈ 0.0015432098765432 | 10 | ≈ 0.0030864197530864 |
The gradian is a unit of measurement of an angle, equivalent to 1/400 of a turn, 9/10 of a degree, or π/200 of a radian.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| gradian | grad | ≡ 1⁄400 of a revolution ≡ π⁄200 rad ≡ 0.9° | ≈ 15.707963×10−3 rad | Metric system SI |
| gradians | arcseconds | gradians | arcseconds |
|---|---|---|---|
| 1 | ≈ 3240 | 6 | ≈ 19440 |
| 2 | ≈ 6480 | 7 | ≈ 22680 |
| 3 | ≈ 9720 | 8 | ≈ 25920 |
| 4 | ≈ 12960 | 9 | ≈ 29160 |
| 5 | ≈ 16200 | 10 | ≈ 32400 |
| arcseconds | gradians |
|---|---|
| 1 | ≈ 0.0003086 |
| 3 240 | ≈ 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 …) |