Milliradians to Gradians Conversion (mrad to g)

Milliradians to Gradians Converter

Enter the angle in milliradians below to convert it to gradians.

Result in Gradians:

1 mrad = 0.063662^g

How to Convert Milliradians to Gradians

To convert a measurement in milliradians to a measurement in gradians, multiply the angle by the following conversion ratio: 0.063662 gradians/milliradian.

Since one milliradian is equal to 0.063662 gradians, you can use this simple formula to convert:

gradians = milliradians × 0.063662

The angle in gradians is equal to the angle in milliradians multiplied by 0.063662.

For example, here's how to convert 5 milliradians to gradians using the formula above.

gradians = (5 mrad × 0.063662) = 0.31831^g

Milliradians and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10^-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

Learn more about milliradians.

What Is a Gradian?

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^-2 radians.^[1]

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
Gradians	Degrees
0 grad	0°
100 grad	90°
200 grad	180°
300 grad	270°
400 grad	360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as ^g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1^g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

Learn more about gradians.

Milliradian to Gradian Conversion Table

Table showing various milliradian measurements converted to gradians.
Milliradians	Gradians
1 mrad	0.063662^g
2 mrad	0.127324^g
3 mrad	0.190986^g
4 mrad	0.254648^g
5 mrad	0.31831^g
6 mrad	0.381972^g
7 mrad	0.445634^g
8 mrad	0.509296^g
9 mrad	0.572958^g
10 mrad	0.63662^g
11 mrad	0.700282^g
12 mrad	0.763944^g
13 mrad	0.827606^g
14 mrad	0.891268^g
15 mrad	0.95493^g
16 mrad	1.0186^g
17 mrad	1.0823^g
18 mrad	1.1459^g
19 mrad	1.2096^g
20 mrad	1.2732^g
21 mrad	1.3369^g
22 mrad	1.4006^g
23 mrad	1.4642^g
24 mrad	1.5279^g
25 mrad	1.5915^g
26 mrad	1.6552^g
27 mrad	1.7189^g
28 mrad	1.7825^g
29 mrad	1.8462^g
30 mrad	1.9099^g
31 mrad	1.9735^g
32 mrad	2.0372^g
33 mrad	2.1008^g
34 mrad	2.1645^g
35 mrad	2.2282^g
36 mrad	2.2918^g
37 mrad	2.3555^g
38 mrad	2.4192^g
39 mrad	2.4828^g
40 mrad	2.5465^g

Table showing various milliradian measurements converted to gradians.

Milliradians

Gradians

1 mrad

0.063662^g

2 mrad

0.127324^g

3 mrad

0.190986^g

4 mrad

0.254648^g

5 mrad

0.31831^g

6 mrad

0.381972^g

7 mrad

0.445634^g

8 mrad

0.509296^g

9 mrad

0.572958^g

10 mrad

0.63662^g

11 mrad

0.700282^g

12 mrad

0.763944^g

13 mrad

0.827606^g

14 mrad

0.891268^g

15 mrad

0.95493^g

16 mrad

1.0186^g

17 mrad

1.0823^g

18 mrad

1.1459^g

19 mrad

1.2096^g

20 mrad

1.2732^g

21 mrad

1.3369^g

22 mrad

1.4006^g

23 mrad

1.4642^g

24 mrad

1.5279^g

25 mrad

1.5915^g

26 mrad

1.6552^g

27 mrad

1.7189^g

28 mrad

1.7825^g

29 mrad

1.8462^g

30 mrad

1.9099^g

31 mrad

1.9735^g

32 mrad

2.0372^g

33 mrad

2.1008^g

34 mrad

2.1645^g

35 mrad

2.2282^g

36 mrad

2.2918^g

37 mrad

2.3555^g

38 mrad

2.4192^g

39 mrad

2.4828^g

40 mrad

2.5465^g

References

Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf