Milliradians to Gradians Converter
Enter the angle in milliradians below to convert it to gradians.
Result in Gradians:
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How to Convert Milliradians to Gradians
To convert a measurement in milliradians to a measurement in gradians, multiply the angle by the following conversion ratio: 0.063662 gradians/milliradian.
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 angle in milliradians multiplied by 0.063662.
For example, here's how to convert 5 milliradians to gradians using the formula above.
gradians = (5 mrad × 0.063662) = 0.31831g
Milliradians and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
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.
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.
Milliradian to Gradian Conversion Table
| 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 |
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