1,000 mrad to gon — 1,000 milliradians in gradians
Exact 1,000 ÷ 15.707963 = 63.661977
57 degrees 17 arcminutes 44 arcseconds
1,000 milliradians in other units
| Degrees | 57.29578 | ° |
|---|---|---|
| Radian | 1 | rad |
| Gradians | 63.661977 | gon |
| Arcminutes | 3,437.75 | ′ |
| Arcseconds | 206,264.81 | ″ |
| Turns | 0.15915494 | turn |
mrad to gon at a glance
| Milliradians | Gradians |
|---|---|
| 1 mrad | 0.06366198 gon |
| 2 mrad | 0.12732395 gon |
| 3 mrad | 0.19098593 gon |
| 5 mrad | 0.31830989 gon |
| 10 mrad | 0.63661977 gon |
| 20 mrad | 1.27324 gon |
| 25 mrad | 1.591549 gon |
| 50 mrad | 3.183099 gon |
| 100 mrad | 6.366198 gon |
| 250 mrad | 15.915494 gon |
| 500 mrad | 31.830989 gon |
| 1,000 mrad | 63.661977 gon |
How to convert milliradians to gradians
Multiply by 0.06366198 — one milliradian is 0.06366198 gradians. 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 1,000 ÷ 15.707963 = 63.661977
In words: about sixty-four gradians.
What these units are
The milliradian and the gradian are covered in the angle unit guide, along with every other unit on this page.
Questions
How many gradians are in a milliradian?
One milliradian is 0.06366198 gradians. This figure is exact — it comes from the definition of the unit, not a measurement.
What is 1,000 milliradians in gradians?
1,000 milliradians is 63.661977 gradians. The working is 1,000 ÷ 15.707963 = 63.661977.
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.