Gradians to Milliradians Conversion (g to mrad)

Gradians to Milliradians Converter

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

Result in Milliradians:

1^g = 15.707963 mrad

How to Convert Gradians to Milliradians

To convert a measurement in gradians to a measurement in milliradians, multiply the angle by the following conversion ratio: 15.707963 milliradians/gradian.

Since one gradian is equal to 15.707963 milliradians, you can use this simple formula to convert:

milliradians = gradians × 15.707963

The angle in milliradians is equal to the angle in gradians multiplied by 15.707963.

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

milliradians = (5^g × 15.707963) = 78.539816 mrad

How Many Milliradians Are in a Gradian?

There are 15.707963 milliradians in a gradian, which is why we use this value in the formula above.

1^g = 15.707963 mrad

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

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.

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.

Gradian to Milliradian Conversion Table

Table showing various gradian measurements converted to milliradians.
Gradians	Milliradians
1^g	15.71 mrad
2^g	31.42 mrad
3^g	47.12 mrad
4^g	62.83 mrad
5^g	78.54 mrad
6^g	94.25 mrad
7^g	109.96 mrad
8^g	125.66 mrad
9^g	141.37 mrad
10^g	157.08 mrad
11^g	172.79 mrad
12^g	188.5 mrad
13^g	204.2 mrad
14^g	219.91 mrad
15^g	235.62 mrad
16^g	251.33 mrad
17^g	267.04 mrad
18^g	282.74 mrad
19^g	298.45 mrad
20^g	314.16 mrad
21^g	329.87 mrad
22^g	345.58 mrad
23^g	361.28 mrad
24^g	376.99 mrad
25^g	392.7 mrad
26^g	408.41 mrad
27^g	424.12 mrad
28^g	439.82 mrad
29^g	455.53 mrad
30^g	471.24 mrad
31^g	486.95 mrad
32^g	502.65 mrad
33^g	518.36 mrad
34^g	534.07 mrad
35^g	549.78 mrad
36^g	565.49 mrad
37^g	581.19 mrad
38^g	596.9 mrad
39^g	612.61 mrad
40^g	628.32 mrad

Table showing various gradian measurements converted to milliradians.

Gradians

Milliradians

1^g

15.71 mrad

2^g

31.42 mrad

3^g

47.12 mrad

4^g

62.83 mrad

5^g

78.54 mrad

6^g

94.25 mrad

7^g

109.96 mrad

8^g

125.66 mrad

9^g

141.37 mrad

10^g

157.08 mrad

11^g

172.79 mrad

12^g

188.5 mrad

13^g

204.2 mrad

14^g

219.91 mrad

15^g

235.62 mrad

16^g

251.33 mrad

17^g

267.04 mrad

18^g

282.74 mrad

19^g

298.45 mrad

20^g

314.16 mrad

21^g

329.87 mrad

22^g

345.58 mrad

23^g

361.28 mrad

24^g

376.99 mrad

25^g

392.7 mrad

26^g

408.41 mrad

27^g

424.12 mrad

28^g

439.82 mrad

29^g

455.53 mrad

30^g

471.24 mrad

31^g

486.95 mrad

32^g

502.65 mrad

33^g

518.36 mrad

34^g

534.07 mrad

35^g

549.78 mrad

36^g

565.49 mrad

37^g

581.19 mrad

38^g

596.9 mrad

39^g

612.61 mrad

40^g

628.32 mrad

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