| quarter circle | 1 1/4 circle | 2 1/4 circle | 3 1/4 circle | 4 1/4 circle | 5 1/4 circle | 6 1/4 circle | 7 1/4 circle | 8 1/4 circle | 9 1/4 circle | 10 1/4 circle | 11 1/4 circle | 12 1/4 circle | 13 1/4 circle | 14 1/4 circle | 15 1/4 circle | 16 1/4 circle | 17 1/4 circle | 18 1/4 circle | 19 1/4 circle | 20 1/4 circle | 21 1/4 circle | 22 1/4 circle | 23 1/4 circle | 24 1/4 circle | 25 1/4 circle | 26 1/4 circle | 27 1/4 circle | 28 1/4 circle | 29 1/4 circle | 30 1/4 circle | 31 1/4 circle | 32 1/4 circle | 33 1/4 circle | 34 1/4 circle | 35 1/4 circle | 36 1/4 circle | 37 1/4 circle | 38 1/4 circle | 39 1/4 circle | 40 1/4 circle | 41 1/4 circle | 42 1/4 circle | 43 1/4 circle | 44 1/4 circle | 45 1/4 circle | 46 1/4 circle | 47 1/4 circle | 48 1/4 circle | 49 1/4 circle | 50 1/4 circle | 51 1/4 circle | 52 1/4 circle | 53 1/4 circle | 54 1/4 circle | 55 1/4 circle | 56 1/4 circle | 57 1/4 circle | 58 1/4 circle | 59 1/4 circle | 60 1/4 circle | 61 1/4 circle | 62 1/4 circle | 63 1/4 circle | 64 1/4 circle | 65 1/4 circle | 66 1/4 circle | 67 1/4 circle | 68 1/4 circle | 69 1/4 circle | 70 1/4 circle | 71 1/4 circle | 72 1/4 circle | 73 1/4 circle | 74 1/4 circle | 75 1/4 circle | 76 1/4 circle | 77 1/4 circle | 78 1/4 circle | 79 1/4 circle | 80 1/4 circle | 81 1/4 circle | 82 1/4 circle | 83 1/4 circle | 84 1/4 circle | 85 1/4 circle | 86 1/4 circle | 87 1/4 circle | 88 1/4 circle | 89 1/4 circle | 90 1/4 circle | 91 1/4 circle | 92 1/4 circle | 93 1/4 circle | 94 1/4 circle | 95 1/4 circle | 96 1/4 circle | 97 1/4 circle | 98 1/4 circle | 99 1/4 circle | 100 1/4 circle |
| sextant | 1.5 " | 3 " | 4.5 " | 6 " | 7.5 " | 9 " | 10.5 " | 12 " | 13.5 " | 15 " | 16.5 " | 18 " | 19.5 " | 21 " | 22.5 " | 24 " | 25.5 " | 27 " | 28.5 " | 30 " | 31.5 " | 33 " | 34.5 " | 36 " | 37.5 " | 39 " | 40.5 " | 42 " | 43.5 " | 45 " | 46.5 " | 48 " | 49.5 " | 51 " | 52.5 " | 54 " | 55.5 " | 57 " | 58.5 " | 60 " | 61.5 " | 63 " | 64.5 " | 66 " | 67.5 " | 69 " | 70.5 " | 72 " | 73.5 " | 75 " | 76.5 " | 78 " | 79.5 " | 81 " | 82.5 " | 84 " | 85.5 " | 87 " | 88.5 " | 90 " | 91.5 " | 93 " | 94.5 " | 96 " | 97.5 " | 99 " | 100.5 " | 102 " | 103.5 " | 105 " | 106.5 " | 108 " | 109.5 " | 111 " | 112.5 " | 114 " | 115.5 " | 117 " | 118.5 " | 120 " | 121.5 " | 123 " | 124.5 " | 126 " | 127.5 " | 129 " | 130.5 " | 132 " | 133.5 " | 135 " | 136.5 " | 138 " | 139.5 " | 141 " | 142.5 " | 144 " | 145.5 " | 147 " | 148.5 " | 150 " |
1/4 circle or quarter circle is equal to 360°/4 = 90°. Plural name is quarter circles.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| quarter circle | 1/4 circle | ≡ 45 ° | = 1.5707963 rad | Metric system SI |
| quarter circles | sextants | quarter circles | sextants |
|---|---|---|---|
| 1 | ≈ 1.5 | 6 | ≈ 9 |
| 2 | ≈ 3 | 7 | ≈ 10.5 |
| 3 | ≈ 4.5 | 8 | ≈ 12 |
| 4 | ≈ 6 | 9 | ≈ 13.5 |
| 5 | ≈ 7.5 | 10 | ≈ 15 |
sextant is the unit of plane angle, equals to 60°.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| sextant | " | ≡ 60° | ≈ 1.047198 rad | Metric system SI |
| sextants | quarter circles | sextants | quarter circles |
|---|---|---|---|
| 1 | ≈ 0.66666666666667 | 6 | ≈ 4 |
| 2 | ≈ 1.3333333333333 | 7 | ≈ 4.6666666666667 |
| 3 | ≈ 2 | 8 | ≈ 5.3333333333333 |
| 4 | ≈ 2.6666666666667 | 9 | ≈ 6 |
| 5 | ≈ 3.3333333333333 | 10 | ≈ 6.6666666666667 |
| quarter circles | sextants |
|---|---|
| 1 | ≈ 1.5 |
| 0.6666667 | ≈ 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 …) |