| degree | 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 ° |
| arcsecond | 3 600 " | 7 200 " | 10 800 " | 14 400 " | 18 000 " | 21 600 " | 25 200 " | 28 800 " | 32 400 " | 36 000 " | 39 600 " | 43 200 " | 46 800 " | 50 400 " | 54 000 " | 57 600 " | 61 200 " | 64 800 " | 68 400 " | 72 000 " | 75 600 " | 79 200 " | 82 800 " | 86 400 " | 90 000 " | 93 600 " | 97 200 " | 100 800 " | 104 400 " | 108 000 " | 111 600 " | 115 200 " | 118 800 " | 122 400 " | 126 000 " | 129 600 " | 133 200 " | 136 800 " | 140 400 " | 144 000 " | 147 600 " | 151 200 " | 154 800 " | 158 400 " | 162 000 " | 165 600 " | 169 200 " | 172 800 " | 176 400 " | 180 000 " | 183 600 " | 187 200 " | 190 800 " | 194 400 " | 198 000 " | 201 600 " | 205 200 " | 208 800 " | 212 400 " | 216 000 " | 219 600 " | 223 200 " | 226 800 " | 230 400 " | 234 000 " | 237 600 " | 241 200 " | 244 800 " | 248 400 " | 252 000 " | 255 600 " | 259 200 " | 262 800 " | 266 400 " | 270 000 " | 273 600 " | 277 200 " | 280 800 " | 284 400 " | 288 000 " | 291 600 " | 295 200 " | 298 800 " | 302 400 " | 306 000 " | 309 600 " | 313 200 " | 316 800 " | 320 400 " | 324 000 " | 327 600 " | 331 200 " | 334 800 " | 338 400 " | 342 000 " | 345 600 " | 349 200 " | 352 800 " | 356 400 " | 360 000 " |
A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.
It is not an SI unit, as the SI unit of angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit.Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians.
| Name of unit | Symbol | Definition | Relation to SI units | Unit System |
|---|---|---|---|---|
| degree | ° | ≡ 1⁄360 of a revolution ≡ π⁄180 rad | ≈ 17.453293×10−3 rad | Metric system SI |
| degrees | arcseconds | degrees | arcseconds |
|---|---|---|---|
| 1 | ≈ 3600 | 6 | ≈ 21600 |
| 2 | ≈ 7200 | 7 | ≈ 25200 |
| 3 | ≈ 10800 | 8 | ≈ 28800 |
| 4 | ≈ 14400 | 9 | ≈ 32400 |
| 5 | ≈ 18000 | 10 | ≈ 36000 |
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 | degrees | arcseconds | degrees |
|---|---|---|---|
| 1 | ≈ 0.00027777777777778 | 6 | ≈ 0.0016666666666667 |
| 2 | ≈ 0.00055555555555556 | 7 | ≈ 0.0019444444444444 |
| 3 | ≈ 0.00083333333333333 | 8 | ≈ 0.0022222222222222 |
| 4 | ≈ 0.0011111111111111 | 9 | ≈ 0.0025 |
| 5 | ≈ 0.0013888888888889 | 10 | ≈ 0.0027777777777778 |
| degrees | arcseconds |
|---|---|
| 1 | ≈ 3 600 |
| 0.0002778 | ≈ 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 …) |