| twelfth circle | 1 1/12 circle | 2 1/12 circle | 3 1/12 circle | 4 1/12 circle | 5 1/12 circle | 6 1/12 circle | 7 1/12 circle | 8 1/12 circle | 9 1/12 circle | 10 1/12 circle | 11 1/12 circle | 12 1/12 circle | 13 1/12 circle | 14 1/12 circle | 15 1/12 circle | 16 1/12 circle | 17 1/12 circle | 18 1/12 circle | 19 1/12 circle | 20 1/12 circle | 21 1/12 circle | 22 1/12 circle | 23 1/12 circle | 24 1/12 circle | 25 1/12 circle | 26 1/12 circle | 27 1/12 circle | 28 1/12 circle | 29 1/12 circle | 30 1/12 circle | 31 1/12 circle | 32 1/12 circle | 33 1/12 circle | 34 1/12 circle | 35 1/12 circle | 36 1/12 circle | 37 1/12 circle | 38 1/12 circle | 39 1/12 circle | 40 1/12 circle | 41 1/12 circle | 42 1/12 circle | 43 1/12 circle | 44 1/12 circle | 45 1/12 circle | 46 1/12 circle | 47 1/12 circle | 48 1/12 circle | 49 1/12 circle | 50 1/12 circle | 51 1/12 circle | 52 1/12 circle | 53 1/12 circle | 54 1/12 circle | 55 1/12 circle | 56 1/12 circle | 57 1/12 circle | 58 1/12 circle | 59 1/12 circle | 60 1/12 circle | 61 1/12 circle | 62 1/12 circle | 63 1/12 circle | 64 1/12 circle | 65 1/12 circle | 66 1/12 circle | 67 1/12 circle | 68 1/12 circle | 69 1/12 circle | 70 1/12 circle | 71 1/12 circle | 72 1/12 circle | 73 1/12 circle | 74 1/12 circle | 75 1/12 circle | 76 1/12 circle | 77 1/12 circle | 78 1/12 circle | 79 1/12 circle | 80 1/12 circle | 81 1/12 circle | 82 1/12 circle | 83 1/12 circle | 84 1/12 circle | 85 1/12 circle | 86 1/12 circle | 87 1/12 circle | 88 1/12 circle | 89 1/12 circle | 90 1/12 circle | 91 1/12 circle | 92 1/12 circle | 93 1/12 circle | 94 1/12 circle | 95 1/12 circle | 96 1/12 circle | 97 1/12 circle | 98 1/12 circle | 99 1/12 circle | 100 1/12 circle |
| arcsecond | 108 000 " | 216 000 " | 324 000 " | 432 000 " | 540 000 " | 648 000 " | 756 000 " | 864 000 " | 972 000 " | 1 080 000 " | 1 188 000 " | 1 296 000 " | 1 404 000 " | 1 512 000 " | 1 620 000 " | 1 728 000 " | 1 836 000 " | 1 944 000 " | 2 052 000 " | 2 160 000 " | 2 268 000 " | 2 376 000 " | 2 484 000 " | 2 592 000 " | 2 700 000 " | 2 808 000 " | 2 916 000 " | 3 024 000 " | 3 132 000 " | 3 240 000 " | 3 348 000 " | 3 456 000 " | 3 564 000 " | 3 672 000 " | 3 780 000 " | 3 888 000 " | 3 996 000 " | 4 104 000 " | 4 212 000 " | 4 320 000 " | 4 428 000 " | 4 536 000 " | 4 644 000 " | 4 752 000 " | 4 860 000 " | 4 968 000 " | 5 076 000 " | 5 184 000 " | 5 292 000 " | 5 400 000 " | 5 508 000 " | 5 616 000 " | 5 724 000 " | 5 832 000 " | 5 940 000 " | 6 048 000 " | 6 156 000 " | 6 264 000 " | 6 372 000 " | 6 480 000 " | 6 588 000 " | 6 696 000 " | 6 804 000 " | 6 912 000 " | 7 020 000 " | 7 128 000 " | 7 236 000 " | 7 344 000 " | 7 452 000 " | 7 560 000 " | 7 668 000 " | 7 776 000 " | 7 884 000 " | 7 992 000 " | 8 100 000 " | 8 208 000 " | 8 316 000 " | 8 424 000 " | 8 532 000 " | 8 640 000 " | 8 748 000 " | 8 856 000 " | 8 964 000 " | 9 072 000 " | 9 180 000 " | 9 288 000 " | 9 396 000 " | 9 504 000 " | 9 612 000 " | 9 720 000 " | 9 828 000 " | 9 936 000 " | 10 044 000 " | 10 152 000 " | 10 260 000 " | 10 368 000 " | 10 476 000 " | 10 584 000 " | 10 692 000 " | 10 800 000 " |
1/12 circle or twelfth circle is equal to 360°/12 = 30°. Plural name is twelfth circles.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| twelfth circle | 1/12 circle | ≡ 30° | = 0.523598767 rad | Metric system SI |
| twelfth circles | arcseconds | twelfth circles | arcseconds |
|---|---|---|---|
| 1 | ≈ 108000 | 6 | ≈ 648000 |
| 2 | ≈ 216000 | 7 | ≈ 756000 |
| 3 | ≈ 324000 | 8 | ≈ 864000 |
| 4 | ≈ 432000 | 9 | ≈ 972000 |
| 5 | ≈ 540000 | 10 | ≈ 1080000 |
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 | twelfth circles | arcseconds | twelfth circles |
|---|---|---|---|
| 1 | ≈ 9.2592592592593E-6 | 6 | ≈ 5.5555555555556E-5 |
| 2 | ≈ 1.8518518518519E-5 | 7 | ≈ 6.4814814814815E-5 |
| 3 | ≈ 2.7777777777778E-5 | 8 | ≈ 7.4074074074074E-5 |
| 4 | ≈ 3.7037037037037E-5 | 9 | ≈ 8.3333333333333E-5 |
| 5 | ≈ 4.6296296296296E-5 | 10 | ≈ 9.2592592592593E-5 |
| twelfth circles | arcseconds |
|---|---|
| 1 | ≈ 108 000 |
| 9.2592592592593 × 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 …) |