Use the converter
Enter a finite number to convert.
Displays up to six decimal places. This is pure angle arithmetic only; it does not store data, use the network, or calculate a firing solution.
Select a convention before entering a number. Type an angle in the mils or mrad field to calculate degrees, or type degrees to calculate the corresponding value under the selected convention. The result updates in both directions. Changing the convention recalculates from the field you edited most recently, so the original quantity remains the basis of the conversion.
Zero, negative angles, decimal values, and values larger than one full circle are valid mathematical inputs. The converter does not force an angle into a 0–360 degree range. For example, a negative value remains negative and 720 degrees remains two complete circles. Empty input clears the result, while non-finite values are rejected rather than displayed as a plausible answer.
Choose the angle convention before converting
The word mil does not always identify the same angular unit. A correct conversion therefore starts with the circle definition, not with a bare number. The selector keeps the three supported definitions separate.
NATO 6400-circle mil uses 6,400 mils for one complete 360-degree circle. Under this convention, 1,600 mils equals 90 degrees, 3,200 equals 180 degrees, and 6,400 equals 360 degrees.
The 6000-circle artillery convention uses 6,000 mils for a complete circle. Under that definition, 1,500 mils equals 90 degrees, 3,000 equals 180 degrees, and 6,000 equals 360 degrees. A value entered under this convention must not be interpreted as a NATO mil value.
A mathematical milliradian, abbreviated mrad, is one thousandth of a radian. A full circle contains 2π × 1,000 mrad, approximately 6,283.185307 mrad. Consequently, π × 1,000 mrad equals 180 degrees. This is mathematically distinct from both rounded artillery circle systems.
Mils and degrees formulas
For a circle convention, degrees = mils × 360 ÷ mils per circle. The reverse calculation is mils = degrees × mils per circle ÷ 360. Substitute 6,400 for the NATO convention or 6,000 for the 6000-circle convention.
For mathematical milliradians, degrees = mrad × 180 ÷ (π × 1,000). The reverse calculation is mrad = degrees × (π × 1,000) ÷ 180. These formulas explain why the same numeric input produces different degree results when the selected convention changes. Always carry the convention name alongside a converted value.
Precision, display, and unusual inputs
The interface displays up to six decimal places and removes unnecessary trailing zeroes. Display rounding makes results readable, but the underlying calculation retains normal JavaScript Number precision. If you convert a displayed rounded result back again, a very small difference can appear because the visible number is shorter than the internal value.
Multiple-circle values can be useful when comparing notation, and negative values can represent direction in a separate mathematical system. Their acceptance here does not assign them an IRON NEST meaning. This page does not normalize signs, infer direction, or decide which convention belongs to a particular document. The person using the source value must identify its definition.
What this converter does not calculate
This is a general angle unit converter, not a ballistic calculator. It does not use target distance, ammunition, powder charge, shell type, map measurement, weapon data, or mission information. It cannot return a range table, recommended elevation, firing angle, or shot correction.
The official IRON NEST material reviewed for this Field Manual uses degrees and does not document mil input. The presence of this utility must not be read as a claim that IRON NEST uses NATO mils, 6000-circle mils, or mrad in its controls. For game concepts, use the Ballistics and Fire-Control Computer guides, which remain limited to developer-described terms and workflow.