| gradian | 1 grad | 2 grad | 3 grad | 4 grad | 5 grad | 6 grad | 7 grad | 8 grad | 9 grad | 10 grad | 11 grad | 12 grad | 13 grad | 14 grad | 15 grad | 16 grad | 17 grad | 18 grad | 19 grad | 20 grad | 21 grad | 22 grad | 23 grad | 24 grad | 25 grad | 26 grad | 27 grad | 28 grad | 29 grad | 30 grad | 31 grad | 32 grad | 33 grad | 34 grad | 35 grad | 36 grad | 37 grad | 38 grad | 39 grad | 40 grad | 41 grad | 42 grad | 43 grad | 44 grad | 45 grad | 46 grad | 47 grad | 48 grad | 49 grad | 50 grad | 51 grad | 52 grad | 53 grad | 54 grad | 55 grad | 56 grad | 57 grad | 58 grad | 59 grad | 60 grad | 61 grad | 62 grad | 63 grad | 64 grad | 65 grad | 66 grad | 67 grad | 68 grad | 69 grad | 70 grad | 71 grad | 72 grad | 73 grad | 74 grad | 75 grad | 76 grad | 77 grad | 78 grad | 79 grad | 80 grad | 81 grad | 82 grad | 83 grad | 84 grad | 85 grad | 86 grad | 87 grad | 88 grad | 89 grad | 90 grad | 91 grad | 92 grad | 93 grad | 94 grad | 95 grad | 96 grad | 97 grad | 98 grad | 99 grad | 100 grad |
| arcsecond | 3 240 " | 6 480 " | 9 720 " | 12 960 " | 16 200 " | 19 440 " | 22 680 " | 25 920 " | 29 160 " | 32 400 " | 35 640 " | 38 880 " | 42 120 " | 45 360 " | 48 600 " | 51 840 " | 55 080 " | 58 320 " | 61 560 " | 64 800 " | 68 040 " | 71 280 " | 74 520 " | 77 760 " | 81 000 " | 84 240 " | 87 480 " | 90 720 " | 93 960 " | 97 200 " | 100 440 " | 103 680 " | 106 920 " | 110 160 " | 113 400 " | 116 640 " | 119 880 " | 123 120 " | 126 360 " | 129 600 " | 132 840 " | 136 080 " | 139 320 " | 142 560 " | 145 800 " | 149 040 " | 152 280 " | 155 520 " | 158 760 " | 162 000 " | 165 240 " | 168 480 " | 171 720 " | 174 960 " | 178 200 " | 181 440 " | 184 680 " | 187 920 " | 191 160 " | 194 400 " | 197 640 " | 200 880 " | 204 120 " | 207 360 " | 210 600 " | 213 840 " | 217 080 " | 220 320 " | 223 560 " | 226 800 " | 230 040 " | 233 280 " | 236 520 " | 239 760 " | 243 000 " | 246 240 " | 249 480 " | 252 720 " | 255 960 " | 259 200 " | 262 440 " | 265 680 " | 268 920 " | 272 160 " | 275 400 " | 278 640 " | 281 880 " | 285 120 " | 288 360 " | 291 600 " | 294 840 " | 298 080 " | 301 320 " | 304 560 " | 307 800 " | 311 040 " | 314 280 " | 317 520 " | 320 760 " | 324 000 " |
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 |
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 |
| gradians | arcseconds |
|---|---|
| 1 | ≈ 3 240 |
| 0.0003086 | ≈ 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 …) |