Arcminutes to Turns (′ → tr)
Formula
1 ′ = 0.000046296296296296294 trConversion Table
| ′ | tr |
|---|---|
| 0 | 0 |
| 1.0000 | 0.000046296 |
| 2.0000 | 0.000092593 |
| 3.0000 | 0.00013889 |
| 4.0000 | 0.00018519 |
| 5.0000 | 0.00023148 |
| 6.0000 | 0.00027778 |
| 7.0000 | 0.00032407 |
| 8.0000 | 0.00037037 |
| 9.0000 | 0.00041667 |
| 10.000 | 0.00046296 |
| 11.000 | 0.00050926 |
| 12.000 | 0.00055556 |
| 13.000 | 0.00060185 |
| 14.000 | 0.00064815 |
| 15.000 | 0.00069444 |
| 16.000 | 0.00074074 |
| 17.000 | 0.00078704 |
| 18.000 | 0.00083333 |
| 19.000 | 0.00087963 |
| ′ | tr |
|---|---|
| 20.000 | 0.00092593 |
| 21.000 | 0.00097222 |
| 22.000 | 0.0010185 |
| 23.000 | 0.0010648 |
| 24.000 | 0.0011111 |
| 25.000 | 0.0011574 |
| 26.000 | 0.0012037 |
| 27.000 | 0.0012500 |
| 28.000 | 0.0012963 |
| 29.000 | 0.0013426 |
| 30.000 | 0.0013889 |
| 31.000 | 0.0014352 |
| 32.000 | 0.0014815 |
| 33.000 | 0.0015278 |
| 34.000 | 0.0015741 |
| 35.000 | 0.0016204 |
| 36.000 | 0.0016667 |
| 37.000 | 0.0017130 |
| 38.000 | 0.0017593 |
| 39.000 | 0.0018056 |
| ′ | tr |
|---|---|
| 40.000 | 0.0018519 |
| 41.000 | 0.0018981 |
| 42.000 | 0.0019444 |
| 43.000 | 0.0019907 |
| 44.000 | 0.0020370 |
| 45.000 | 0.0020833 |
| 46.000 | 0.0021296 |
| 47.000 | 0.0021759 |
| 48.000 | 0.0022222 |
| 49.000 | 0.0022685 |
| 50.000 | 0.0023148 |
| 51.000 | 0.0023611 |
| 52.000 | 0.0024074 |
| 53.000 | 0.0024537 |
| 54.000 | 0.0025000 |
| 55.000 | 0.0025463 |
| 56.000 | 0.0025926 |
| 57.000 | 0.0026389 |
| 58.000 | 0.0026852 |
| 59.000 | 0.0027315 |
| ′ | tr |
|---|---|
| 60.000 | 0.0027778 |
| 61.000 | 0.0028241 |
| 62.000 | 0.0028704 |
| 63.000 | 0.0029167 |
| 64.000 | 0.0029630 |
| 65.000 | 0.0030093 |
| 66.000 | 0.0030556 |
| 67.000 | 0.0031019 |
| 68.000 | 0.0031481 |
| 69.000 | 0.0031944 |
| 70.000 | 0.0032407 |
| 71.000 | 0.0032870 |
| 72.000 | 0.0033333 |
| 73.000 | 0.0033796 |
| 74.000 | 0.0034259 |
| 75.000 | 0.0034722 |
| 76.000 | 0.0035185 |
| 77.000 | 0.0035648 |
| 78.000 | 0.0036111 |
| 79.000 | 0.0036574 |
Arcminutes to Turns Conversion
Converting Arcminutes (′) to Turns (tr) is a common angle conversion. 1 ′ equals 0.000046 tr. For example, 100 ′ is equal to 0.00463 tr.
Quick Mental Math: Arcminutes to Turns
21600 arcminutes is 1 turn, so scale from that anchor.
Why is converting Arcminutes to Turns tricky?
arcminutes and turns split one full turn into different counts, so people often flip the ratio and divide when they should multiply.
Quick Reference Values
1 ′ = 0.000046 tr. 5 ′ = 0.000231 tr. 10 ′ = 0.000463 tr. 25 ′ = 0.001157 tr. 50 ′ = 0.002315 tr. 100 ′ = 0.00463 tr.
What is Arcminutes?
Arcminutes (′) is a unit of angle. An arcminute is a unit of angular measurement equal to 1/60 of one degree. It corresponds to 1/21,600 of a full circle or precisely 1/60 of a degree, where one degree equals 1/360 of a full rotation [iso-80000]. Arcminutes are used to measure small angles in astronomy and navigation. The concept of subdividing degrees into minutes dates back to ancient Babylonian astronomy and was formalized in modern angular measurement systems by international standards organizations in the 20th century [iso-80000]. Arcminutes are widely used in astronomy worldwide for specifying celestial coordinates and resolving power of telescopes. They also appear in cartography and geodesy standards internationally [nist-si-guide].
What is Turns?
Turns (tr) is a unit of angle. A turn represents one complete rotation or revolution around a circle, equivalent to 360 degrees or 2π radians. It defines an angle of exactly 1 turn = 2π radians, or about 6.28318 radians, aligning with ISO 80000 standards. This unit is used in fields requiring angular measurement, such as engineering and physics [iso-80000]. The concept of a turn as a full circle has existed since ancient mathematics, but formal standardization as a unit of angle was recognized in the 20th century through ISO standards to unify angular measurement [iso-80000]. Turns are used internationally in engineering, robotics, and navigation for expressing rotational movement. It is recognized by ISO and adopted in scientific contexts worldwide [iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: arc minute, arc min, arcminuteses, arcminutess, turnes, tourn, torn, turns. All of these refer to the Arcminutes to Turns conversion.