mil to rad Converter

Convert Mil to Radian instantly.

Free online converter with accurate results and clear explanations.

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How This Tool Works

This converter uses the standard NATO mil convention where a full circle is divided into 6,400 mils. Since one full circle is 2π radians, 1 mil equals π / 3200 radians, or about 0.000982 rad.

To convert mils to radians, multiply the mil value by π / 3200. To convert radians back to mils, multiply by 3200 / π.

For example, 1,600 mils equals π / 2 radians, 3,200 mils equals π radians, and 6,400 mils equals 2π radians.

Why This Matters

Mils and radians both measure angles, but they use different circle divisions. Accurate conversion matters when a field, surveying, mapping, or targeting reference in mils needs to be used in trigonometry, physics, programming, or engineering formulas that expect radians.

  • Navigation and mapping: Convert mil bearings into radian values for computational workflows.
  • Engineering and robotics: Use radian inputs for rotation formulas and APIs.
  • Sanity checks: Remember that a right angle is 1,600 mils, which equals π / 2 radians.

Common Mistakes to Avoid

  • Do not treat mils as degrees: 150 mils is about 0.147 rad, not 2.618 rad.
  • Do not use a 1:1 conversion: 1 mil is about 0.000982 rad, not 1 rad.
  • Do not mix mil systems: NATO mils use 6,400 per circle, while USSR mils use 6,000 per circle.

Frequently Asked Questions

Common questions about the mil to rad Converter

A true milliradian is 1/1000 of a radian. Military mils are close approximations (NATO: 6400/circle).
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Sources & References

International System of Units (SI): plane angle

Plane angle is measured in the radian (rad); 1° = π/180 rad. Conversions between SI and other units use exact, internationally agreed factors maintained by NIST.
→Source: NIST — International System of Units (SI)

International System of Units (SI)

Authoritative definitions for plane angle, from the BIPM SI Brochure (9th edition), the defining reference for the SI.
→Source: BIPM — SI Brochure (9th ed.)

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