mAIbmAIbTools

Turns to Arcminutes

Convert turns to arcminutes instantly — one turn is 21600 arcminutes.

Turns
Arcminutes
1 turn = 21600 ′ · multiply by 21600
TurnsArcminutes
1 turn21600 ′
2 turn43200 ′
3 turn64800 ′
5 turn108000 ′
10 turn216000 ′
25 turn540000 ′
50 turn1080000 ′
100 turn2160000 ′

How to use

  1. Enter a value in the Turns field.
  2. The Arcminutes figure appears immediately — no button to press.
  3. Typing in the Arcminutes field converts back to Turns the same way.
  4. Use the reference table for the values that come up most often.

Turns to Arcminutes formula

To convert turns to arcminutes, multiply by 21600.

′ = turn × 21600

Put another way, one turn is exactly 21,600 arcminutes.

Why this factor: the turn and the arcminute are both defined against the degree, so dividing one definition by the other gives 21600 directly. Both definitions are set out in full below.

To go the other way, divide by 21600 — or use the Arcminutes to Turns converter, which is the same calculation reversed.

Worked example

Start with 45 turn. Multiply by 21600 to get 972000 ′.

45 turn × 21600 = 972000 ′

The converter above does this for any value you type, in either direction.

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.

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.

Turns vs Arcminutes

The turn and the arcminute 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 arcminutes are in a turn?

One turn equals 21600 arcminutes.

What is the formula to convert turns to arcminutes?

Multiply the number of turns by 21600. To reverse it, divide by 21600 instead.

How do I convert arcminutes back to turns?

Divide by 21600, which is the same as multiplying by 4.62962963e-05.

How many arcminutes are in 10 turns?

10 turn works out to 216000 ′.

How is the turn defined?

Exactly 360 degrees, or 2π radians.