Gradians to Milliradians Conversion
Enter the angle in gradians below to get the value converted to milliradians.
How to Convert Gradians to Milliradians
To convert a gradian measurement to a milliradian measurement, multiply the angle by the conversion ratio.
Since one gradian is equal to 15.707963 milliradians, you can use this simple formula to convert:
The angle in milliradians is equal to the gradians multiplied by 15.707963.
Gradians and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
Gradians
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 formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.
Milliradians
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.
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 (NATO)
- radians to milliradians
- degrees to milliradians
- minutes of arc to milliradians
- seconds of arc to milliradians
- revolutions to milliradians
- circles to milliradians
- mils (NATO) to milliradians