Gradians to Milliradians Converter
Enter the angle in gradians below to get the value converted to milliradians.
Do you want to convert milliradians to gradians?
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.
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.
1g = 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.
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 1g, 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
Gradians | Milliradians |
---|---|
1g | 15.71 mrad |
2g | 31.42 mrad |
3g | 47.12 mrad |
4g | 62.83 mrad |
5g | 78.54 mrad |
6g | 94.25 mrad |
7g | 109.96 mrad |
8g | 125.66 mrad |
9g | 141.37 mrad |
10g | 157.08 mrad |
11g | 172.79 mrad |
12g | 188.5 mrad |
13g | 204.2 mrad |
14g | 219.91 mrad |
15g | 235.62 mrad |
16g | 251.33 mrad |
17g | 267.04 mrad |
18g | 282.74 mrad |
19g | 298.45 mrad |
20g | 314.16 mrad |
21g | 329.87 mrad |
22g | 345.58 mrad |
23g | 361.28 mrad |
24g | 376.99 mrad |
25g | 392.7 mrad |
26g | 408.41 mrad |
27g | 424.12 mrad |
28g | 439.82 mrad |
29g | 455.53 mrad |
30g | 471.24 mrad |
31g | 486.95 mrad |
32g | 502.65 mrad |
33g | 518.36 mrad |
34g | 534.07 mrad |
35g | 549.78 mrad |
36g | 565.49 mrad |
37g | 581.19 mrad |
38g | 596.9 mrad |
39g | 612.61 mrad |
40g | 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
More Gradian & Milliradian Conversions
- gradians to radians
- gradians to degrees
- gradians to minutes of arc
- gradians to seconds of arc
- gradians to revolutions
- gradians to circles
- gradians to mils
- radians to milliradians
- degrees to milliradians
- minutes of arc to milliradians
- seconds of arc to milliradians
- revolutions to milliradians
- circles to milliradians
- mils to milliradians