arcminute | 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 ' |
radian | 0.0002909 rad | 0.0005818 rad | 0.0008727 rad | 0.0011636 rad | 0.0014544 rad | 0.0017453 rad | 0.0020362 rad | 0.0023271 rad | 0.0026180 rad | 0.0029089 rad | 0.0031998 rad | 0.0034907 rad | 0.0037815 rad | 0.0040724 rad | 0.0043633 rad | 0.0046542 rad | 0.0049451 rad | 0.0052360 rad | 0.0055269 rad | 0.0058178 rad | 0.0061087 rad | 0.0063995 rad | 0.0066904 rad | 0.0069813 rad | 0.0072722 rad | 0.0075631 rad | 0.0078540 rad | 0.0081449 rad | 0.0084358 rad | 0.0087266 rad | 0.0090175 rad | 0.0093084 rad | 0.0095993 rad | 0.0098902 rad | 0.0101811 rad | 0.0104720 rad | 0.0107629 rad | 0.0110538 rad | 0.0113446 rad | 0.0116355 rad | 0.0119264 rad | 0.0122173 rad | 0.0125082 rad | 0.0127991 rad | 0.0130900 rad | 0.0133809 rad | 0.0136717 rad | 0.0139626 rad | 0.0142535 rad | 0.0145444 rad | 0.0148353 rad | 0.0151262 rad | 0.0154171 rad | 0.0157080 rad | 0.0159989 rad | 0.0162897 rad | 0.0165806 rad | 0.0168715 rad | 0.0171624 rad | 0.0174533 rad | 0.0177442 rad | 0.0180351 rad | 0.0183260 rad | 0.0186168 rad | 0.0189077 rad | 0.0191986 rad | 0.0194895 rad | 0.0197804 rad | 0.0200713 rad | 0.0203622 rad | 0.0206531 rad | 0.0209440 rad | 0.0212348 rad | 0.0215257 rad | 0.0218166 rad | 0.0221075 rad | 0.0223984 rad | 0.0226893 rad | 0.0229802 rad | 0.0232711 rad | 0.0235619 rad | 0.0238528 rad | 0.0241437 rad | 0.0244346 rad | 0.0247255 rad | 0.0250164 rad | 0.0253073 rad | 0.0255982 rad | 0.0258891 rad | 0.0261799 rad | 0.0264708 rad | 0.0267617 rad | 0.0270526 rad | 0.0273435 rad | 0.0276344 rad | 0.0279253 rad | 0.0282162 rad | 0.0285070 rad | 0.0287979 rad | 0.0290888 rad |
A minute of arc, arcminute (arcmin), arc minute, or minute arc is a unit of angular measurement equal to 1/60 of one degree.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
arcminute | ' | ≡ 1°⁄60 | ≈ 0.290888×10−3 rad | Metric system SI |
arcminutes | radians | arcminutes | radians |
---|---|---|---|
1 | ≈ 0.0002908882037037 | 6 | ≈ 0.0017453292222222 |
2 | ≈ 0.00058177640740741 | 7 | ≈ 0.0020362174259259 |
3 | ≈ 0.00087266461111111 | 8 | ≈ 0.0023271056296296 |
4 | ≈ 0.0011635528148148 | 9 | ≈ 0.0026179938333333 |
5 | ≈ 0.0014544410185185 | 10 | ≈ 0.002908882037037 |
The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.
Name of unit | Symbol | Definition | Relation to SI units | Unit System |
---|---|---|---|---|
radian | rad | The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians. | = 1 rad | Metric system SI |
radians | arcminutes | radians | arcminutes |
---|---|---|---|
1 | ≈ 3437.7468294266 | 6 | ≈ 20626.480976559 |
2 | ≈ 6875.4936588532 | 7 | ≈ 24064.227805986 |
3 | ≈ 10313.24048828 | 8 | ≈ 27501.974635413 |
4 | ≈ 13750.987317706 | 9 | ≈ 30939.721464839 |
5 | ≈ 17188.734147133 | 10 | ≈ 34377.468294266 |
arcminutes | radians |
---|---|
1 | ≈ 0.0002909 |
3,437.7468294 | ≈ 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 …) |