mrad to turn — convert milliradians to turns
Exact 1 ÷ 6,283.19 = 0.000159154943
3 arcminutes 26 arcseconds
1 milliradian in other units
| Degrees | 0.05729578 | ° |
|---|---|---|
| Radians | 0.001 | rad |
| Gradians | 0.06366198 | gon |
| Arcminutes | 3.437747 | ′ |
| Arcseconds | 206.264806 | ″ |
| Turns | 0.000159154943 | turn |
mrad to turn at a glance
| Milliradians | Turns |
|---|---|
| 1 mrad | 0.000159154943 turn |
| 2 mrad | 0.000318309886 turn |
| 3 mrad | 0.000477464829 turn |
| 5 mrad | 0.000795774715 turn |
| 10 mrad | 0.001591549431 turn |
| 20 mrad | 0.003183098862 turn |
| 25 mrad | 0.003978873577 turn |
| 50 mrad | 0.007957747155 turn |
| 100 mrad | 0.01591549 turn |
| 250 mrad | 0.03978874 turn |
| 500 mrad | 0.07957747 turn |
| 1,000 mrad | 0.15915494 turn |
How to convert milliradians to turns
Multiply by 0.000159154943 — one milliradian is 0.000159154943 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 1 ÷ 6,283.19 = 0.000159154943
What these units are
The milliradian 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 milliradian?
One milliradian is 0.000159154943 turns. This figure is exact — it comes from the definition of the unit, not a measurement.
What is 1 milliradian in turns?
1 milliradian is 0.000159154943 turns. The working is 1 ÷ 6,283.19 = 0.000159154943.
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.