Mils (NATO) to Gradians Converter
Enter the angle in mils below to convert it to gradians.
Result in Gradians:
Do you want to convert gradians to mils?
How to Convert Mils to Gradians
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To convert a measurement in mils to a measurement in gradians, divide the angle by the following conversion ratio: 16 mils/gradian.
Since one gradian is equal to 16 mils, you can use this simple formula to convert:
gradians = mils ÷ 16
The angle in gradians is equal to the angle in mils divided by 16.
Mils and gradians are both units used to measure angle. Keep reading to learn more about each unit of measure.
What Is a Mil?
A mil, short for milliradian, is equal to 1/6,400 of a circle. The mil used by the US military and NATO forces is slightly different than the true value of a milliradian, which is equal to 1/6,283 of a circle.
During World War I the US adopted what is now the NATO mil to replace degrees and minutes for use in artillery sights. They opted to round mils to 6,400 per circle for simplicity at the time. Today, the mil is commonly used to measure adjustment of sights and scopes of firearms.
There is rightfully much confusion as a result of the mil adopted by the US military and NATO being slightly different than the milliradian.
A mil is sometimes also referred to as an angular mil. Mils can be abbreviated as mil; for example, 1 mil can be written as 1 mil.
Learn more about mils.
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.
Mil to Gradian Conversion Table
| Mils (NATO) | Gradians |
|---|---|
| 1 mil | 0.0625g |
| 2 mil | 0.125g |
| 3 mil | 0.1875g |
| 4 mil | 0.25g |
| 5 mil | 0.3125g |
| 6 mil | 0.375g |
| 7 mil | 0.4375g |
| 8 mil | 0.5g |
| 9 mil | 0.5625g |
| 10 mil | 0.625g |
| 11 mil | 0.6875g |
| 12 mil | 0.75g |
| 13 mil | 0.8125g |
| 14 mil | 0.875g |
| 15 mil | 0.9375g |
| 16 mil | 1g |
| 17 mil | 1.0625g |
| 18 mil | 1.125g |
| 19 mil | 1.1875g |
| 20 mil | 1.25g |
| 21 mil | 1.3125g |
| 22 mil | 1.375g |
| 23 mil | 1.4375g |
| 24 mil | 1.5g |
| 25 mil | 1.5625g |
| 26 mil | 1.625g |
| 27 mil | 1.6875g |
| 28 mil | 1.75g |
| 29 mil | 1.8125g |
| 30 mil | 1.875g |
| 31 mil | 1.9375g |
| 32 mil | 2g |
| 33 mil | 2.0625g |
| 34 mil | 2.125g |
| 35 mil | 2.1875g |
| 36 mil | 2.25g |
| 37 mil | 2.3125g |
| 38 mil | 2.375g |
| 39 mil | 2.4375g |
| 40 mil | 2.5g |
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