15 ′ to turn — 15 arcminutes in turns
Exact 15 ÷ 21,600 = 0.000694444444
15 arcminutes in other units
| Degrees | 0.25 | ° |
|---|---|---|
| Radians | 0.00436332313 | rad |
| Milliradians | 4.363323 | mrad |
| Gradians | 0.27777778 | gon |
| Arcseconds | 900 | ″ |
| Turns | 0.000694444444 | turn |
′ to turn at a glance
| Arcminutes | Turns |
|---|---|
| 1 ′ | 0.000046296296 turn |
| 2 ′ | 0.000092592593 turn |
| 3 ′ | 0.000138888889 turn |
| 5 ′ | 0.000231481481 turn |
| 10 ′ | 0.000462962963 turn |
| 20 ′ | 0.000925925926 turn |
| 25 ′ | 0.001157407407 turn |
| 50 ′ | 0.002314814815 turn |
| 100 ′ | 0.00462962963 turn |
| 250 ′ | 0.01157407 turn |
| 500 ′ | 0.02314815 turn |
| 1,000 ′ | 0.0462963 turn |
How to convert arcminutes to turns
Multiply by 0.000046296296 — one arcminute is 0.000046296296 turns. That factor is exact: it comes from the definition of the units rather than from a measurement, so it will not change and does not need rounding.
Working 15 ÷ 21,600 = 0.000694444444
What these units are
The arcminute and the turn are covered in the angle unit guide, along with every other unit on this page.
Questions
How many turns are in a arcminute?
One arcminute is 0.000046296296 turns. This figure is exact — it comes from the definition of the unit, not a measurement.
What is 15 arcminutes in turns?
15 arcminutes is 0.000694444444 turns. The working is 15 ÷ 21,600 = 0.000694444444.
How many degrees is one radian?
About 57.3°, or exactly 180/π. A radian is the angle you get when the arc along a circle is as long as its radius, which is why the number is awkward: it comes from the geometry rather than from someone choosing a round figure.
Why does maths use radians instead of degrees?
Because the calculus only comes out clean in radians. The derivative of sine is cosine only when the angle is in radians; in degrees a factor of π/180 turns up everywhere. Degrees are a human convention, radians are the circle's own unit.
Why 360 degrees in a circle?
Babylonian arithmetic, most likely, and it stuck because 360 divides so willingly — by 2, 3, 4, 5, 6, 8, 9, 10, 12 and more. Halves, thirds and quarters of a circle all land on whole numbers, which is more than can be said for 100.
What is a gradian for?
It is the metric attempt at angle: 100 gradians in a right angle, 400 in a full circle. It never displaced the degree in general use but survives in surveying in parts of Europe, and most scientific calculators still have a GRAD mode next to DEG and RAD.