Gradians to Milliradians Converter
Enter the angle in gradians below to convert it to milliradians.
Result in Milliradians:
Do you want to convert milliradians to gradians?
On this page:
- Gradians to Milliradians Converter
- How to Convert Gradians to Milliradians
- How Many Milliradians Are in a Gradian?
- What Is a Gradian?
- What Is a Milliradian?
- Gradian to Milliradian Conversion Table
- References
- More Gradian & Milliradian Conversions
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- Angle Square IconConvert to Milliradians
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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 = (5g × 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.
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 as shown in the chart below.
| 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