NATO Mils to Radians Converter
Convert angle measurements from NATO mils to radians (rad). One full circle equals 6400 NATO mils.
Common NATO Mils to Radians Conversions
| NATO Mils | Radians (rad) |
|---|---|
| 1 mil | 0.000982 rad |
| 100 mils | 0.09817 rad |
| 800 mils (45°) | π/4 (0.7854) rad |
| 1600 mils (90°) | π/2 (1.5708) rad |
| 3200 mils (180°) | π (3.14159) rad |
| 4800 mils (270°) | 3π/2 (4.7124) rad |
| 6400 mils (360°) | 2π (6.28319) rad |
How to Convert NATO Mils to Radians
The NATO mil (also known as angular mil) divides a full circle into 6400 equal parts. To convert NATO mils to radians, multiply by 2π/6400 or π/3200.
The Conversion Formula
This can also be written as: radians = mils × 0.0009817477
Understanding the Conversion
The NATO mil was designed so that 1 mil subtends approximately 1 meter at 1 kilometer distance. Since there are 6400 mils in a full circle (2π radians), the conversion factor is 2π/6400 ≈ 0.0009817477.
Example: Converting 1600 NATO Mils to Radians
radians = 1600 mils × (π / 3200) = 1600 × 0.0009817477 = 1.5708 rad (π/2)
Note: 1600 mils = 90° = a right angle
Applications of NATO Mils
NATO mils are commonly used in:
- Military: Artillery fire direction, compass navigation, and target designation
- Range Estimation: Calculating distances based on known object sizes
- Map Reading: Military maps often use mils for bearings
- Ballistics: Adjusting fire and compensating for wind drift
Different Mil Standards
Note that different countries use different mil standards. NATO uses 6400 mils per circle, while the Soviet/Russian system uses 6000 mils, and Sweden uses 6300 mils. This converter uses the NATO standard.