How to convert arcminutes to turns
tr = ′ × 0.0000462962963Because one turn equals 21,600 arcminutes, you can also divide: tr = ′ ÷ 21,600.
An arcminute is smaller than a turn: it takes 21,600 arcminutes to make one turn.
Worked examples
- 1 arcminute1 ′ × 0.0000462962963 = 0.0000462962963 tr
- 5 arcminutes5 ′ × 0.0000462962963 = 0.0002314814815 tr
- 10 arcminutes10 ′ × 0.0000462962963 = 0.000462962963 tr
- 20 arcminutes20 ′ × 0.0000462962963 = 0.0009259259259 tr
- 100 arcminutes100 ′ × 0.0000462962963 = 0.00462962963 tr
Arcminutes to turns conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Arcminutes (′) | Turns (tr) |
|---|---|
| 0.1 ′ | 0.0000046296296 tr |
| 0.25 ′ | 0.000011574074 tr |
| 0.5 ′ | 0.000023148148 tr |
| 1 ′ | 0.000046296296 tr |
| 2 ′ | 0.000092592593 tr |
| 3 ′ | 0.00013888889 tr |
| 4 ′ | 0.00018518519 tr |
| 5 ′ | 0.00023148148 tr |
| 6 ′ | 0.00027777778 tr |
| 7 ′ | 0.00032407407 tr |
| 8 ′ | 0.00037037037 tr |
| 9 ′ | 0.00041666667 tr |
| 10 ′ | 0.00046296296 tr |
| Arcminutes (′) | Turns (tr) |
|---|---|
| 12 ′ | 0.00055555556 tr |
| 15 ′ | 0.00069444444 tr |
| 20 ′ | 0.00092592593 tr |
| 25 ′ | 0.0011574074 tr |
| 30 ′ | 0.0013888889 tr |
| 40 ′ | 0.0018518519 tr |
| 50 ′ | 0.0023148148 tr |
| 75 ′ | 0.0034722222 tr |
| 100 ′ | 0.0046296296 tr |
| 250 ′ | 0.011574074 tr |
| 500 ′ | 0.023148148 tr |
| 1,000 ′ | 0.046296296 tr |
About the units
Arcminute (′)
One sixtieth of a degree. Rifle-scope adjustments are often given in MOA (minutes of angle). One arcminute equals 0.0002908882087 radians (rad).
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Frequently asked questions
How many turns are in one arcminute?
There are 0.0000462962963 turns in one arcminute, and this value is exact by definition.
How do I convert arcminutes to turns?
Multiply the number of arcminutes by 0.0000462962963. For example, 10 ′ × 0.0000462962963 = 0.000462962963 tr.
How many arcminutes are in one turn?
One turn equals 21,600 arcminutes. That is the reverse factor, 1 ÷ 0.0000462962963.
What is 10 arcminutes in turns?
10 ′ = 0.000462962963 tr.
Is this ′ to tr converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.