Milliradians to Gradians Conversion

Enter the angle in milliradians below to get the value converted to gradians.

Results in Gradians:
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1 mrad = 0.063662g

How to Convert Milliradians to Gradians

Protractors are often used to measure angle

To convert a milliradian measurement to a gradian measurement, multiply the angle by the conversion ratio.

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 milliradians multiplied by 0.063662.

For example, here's how to convert 5 milliradians to gradians using the formula above.
5 mrad = (5 × 0.063662) = 0.31831g

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


A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians 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 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.


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
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

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 1g, 1 gr, or 1 grd.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

Milliradian to Gradian Conversion Table

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


  1. Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology,