100 gon to mrad — 100 gradians in milliradians
Exact 100 × 15.707963 = 1,570.8
100 gradians in other units
| Degrees | 90 | ° |
|---|---|---|
| Radians | 1.570796 | rad |
| Milliradians | 1,570.8 | mrad |
| Arcminutes | 5,400 | ′ |
| Arcseconds | 324,000 | ″ |
| Turns | 0.25 | turn |
gon to mrad at a glance
| Gradians | Milliradians |
|---|---|
| 1 gon | 15.707963 mrad |
| 2 gon | 31.415927 mrad |
| 3 gon | 47.12389 mrad |
| 5 gon | 78.539816 mrad |
| 10 gon | 157.079633 mrad |
| 20 gon | 314.159265 mrad |
| 25 gon | 392.699082 mrad |
| 50 gon | 785.398163 mrad |
| 100 gon | 1,570.8 mrad |
| 250 gon | 3,926.99 mrad |
| 500 gon | 7,853.98 mrad |
| 1,000 gon | 15,707.96 mrad |
How to convert gradians to milliradians
Multiply by 15.707963 — one gradian is 15.707963 milliradians. 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 100 × 15.707963 = 1,570.8
In words: about one thousand five hundred seventy-one milliradians.
What these units are
The gradian and the milliradian are covered in the angle unit guide, along with every other unit on this page.
Questions
How many milliradians are in a gradian?
One gradian is 15.707963 milliradians. This figure is exact — it comes from the definition of the unit, not a measurement.
What is 100 gradians in milliradians?
100 gradians is 1,570.8 milliradians. The working is 100 × 15.707963 = 1,570.8.
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.