Arcminutes to Turns
Type a value in either box to convert between arcminutes and turns. The factor is 4.62963e-05.
| Arcminutes | Turns |
|---|---|
| 1 ′ | 4.62963e-05 turn |
| 2 ′ | 9.25926e-05 turn |
| 3 ′ | 0.000139 turn |
| 5 ′ | 0.000231 turn |
| 10 ′ | 0.000463 turn |
| 25 ′ | 0.001157 turn |
| 50 ′ | 0.002315 turn |
| 100 ′ | 0.00463 turn |
How to use
- Enter a value in the Arcminutes field.
- The Turns figure appears immediately — no button to press.
- Typing in the Turns field converts back to Arcminutes the same way.
- Use the reference table for the values that come up most often.
Arcminutes to Turns formula
To convert arcminutes to turns, multiply by 4.62962963e-05.
turn = ′ × 4.62962963e-05
Read in reverse, one turn is exactly 21,600 arcminutes.
Why this factor: the arcminute and the turn are both defined against the degree, so dividing one definition by the other gives 4.62962963e-05 directly. Both definitions are set out in full below.
To go the other way, divide by 4.62962963e-05 — or use the Turns to Arcminutes converter, which is the same calculation reversed.
Worked example
Take 30 ′ and multiply by the factor 4.62962963e-05: the result is 0.001389 turn.
30 ′ × 4.62962963e-05 = 0.001389 turn
The converter above does this for any value you type, in either direction.
What is an arcminute?
An arcminute is one sixtieth of a degree, used where degrees are too coarse.
Definition: Exactly 1/60 degree. Symbol is the prime (′).
Where it is used: Navigation and latitude (one arcminute of latitude is one nautical mile), astronomy, and optometry.
What is a turn?
A turn is one complete revolution — a full circle.
Definition: Exactly 360 degrees, or 2π radians.
Where it is used: Rotational counting, gear and pulley ratios, and coil and winding specifications.
Arcminutes vs Turns
The arcminute and the turn belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many turns are in an arcminute?
One arcminute equals 4.62962963e-05 turns.
What is the formula to convert arcminutes to turns?
Multiply the number of arcminutes by 4.62962963e-05. To reverse it, divide by 4.62962963e-05 instead.
How do I convert turns back to arcminutes?
Divide by 4.62962963e-05, which is the same as multiplying by 21600.
How many turns are in 10 arcminutes?
10 ′ works out to 0.000463 turn.
How is the arcminute defined?
Exactly 1/60 degree. Symbol is the prime (′).