Convert Turns to Arcminutes
Turns to arcminutes is the conversion you need when you count full rotations but the precision you want is in arcminutes — fine angles in astronomy, optics, or navigation. A turn is one whole revolution, and one turn is exactly 21,600 arcminutes, so the arcminute number comes out very large.
Turns to Arcminutes conversion table
| Turns (turn) | Arcminutes (′) |
|---|---|
| 1 | 21,600 |
| 2 | 43,200 |
| 3 | 64,800 |
| 5 | 108,000 |
| 10 | 216,000 |
| 20 | 432,000 |
| 50 | 1,080,000 |
| 100 | 2,160,000 |
| 500 | 10,800,000 |
| 1,000 | 21,600,000 |
The formula
To convert turns to arcminutes, multiply the number of turns by 21,600:
arcminutes = turns × 21,600
A worked example
Say you have one full turn and want it in arcminutes:
1 × 21,600 = 21,600 arcminutes
So 1 turn is exactly 21,600 arcminutes.
Why the number is exact
A turn is one full revolution around a circle, and an arcminute is a fixed slice of that same circle — one sixtieth of a degree. Because the turn is the whole circle and the arcminute is an exact fraction of it, they line up cleanly, giving exactly 21,600 arcminutes in one turn, with nothing rounded away.
When you'll use it
Astronomy, optics, and navigation, where angles are measured to fine precision in arcminutes, and you're starting from full turns of rotation.
Frequently asked questions
How many arcminutes are in a turn?
Exactly 21,600 arcminutes. A full circle is 360 degrees and each degree is 60 arcminutes, so a full turn works out to a fixed, exact 21,600.
What is an arcminute?
An arcminute is one sixtieth of a degree — a small slice of angle used where fine precision matters. Since a turn is a full circle, one turn is exactly 21,600 arcminutes.
Is the turns to arcminutes conversion exact?
Yes. One turn is exactly 21,600 arcminutes by definition, so nothing is rounded — one turn is exactly 21,600 arcminutes, and the numbers scale cleanly from there.