degree to mil – How to convert ° to mil
When you're working in military settings, ballistics, or long-range targeting, angles need to be more precise than what degrees typically offer. That’s where mils come in. These are fine-tuned angular measurements used across NATO systems, rifle scopes, and artillery equipment.
If you're converting from degrees to mils, you’re stepping into a world where accuracy matters—often over great distances. Let’s look at what each unit represents, how the conversion works, and why mils remain critical in modern tactical and technical applications.
Degrees: the everyday angle unit
A degree (°) is the go-to unit for angles in most of the world. One full circle equals 360 degrees, which makes it convenient for splitting into halves, quarters, and thirds. Whether you’re adjusting a camera tripod, navigating with GPS, or sketching geometry, degrees are the default.
But for some applications—especially those involving targeting or precision orientation—360 isn’t granular enough.
Mils: precision built into the circle
A mil, short for milliradian, divides a full circle into 6,400 mils in the NATO system. That means:
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One degree equals about 17.78 mils
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A full circle equals 6,400 mils
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One mil corresponds to a very small angle — ideal for long-range alignment
Why 6,400? It’s a rounded decimal approximation that simplifies field calculations and fits well with metric distance estimation. Mils are used extensively in NATO artillery, sniper scopes, rangefinders, and tactical compasses.
Other systems exist too — for example, Soviet and Swedish militaries use 6,000 and 6,300 mils per circle, respectively — but 6,400 is the NATO and Western standard.
How to convert degree to mil
The relationship between degrees and mils is straightforward. Because there are 360 degrees and 6,400 mils in a full circle:
mil = degree × (6400 ÷ 360)
mil = degree × 17.777777...
You can round the factor to 17.78 for practical use.
Example: Convert 7.5 degrees to mils
mil = 7.5 × (6400 ÷ 360)
mil = 7.5 × 17.7777…
mil ≈ 133.33
So, 7.5 degrees is approximately 133.33 mils in the NATO standard.
If you want to speed things up, use the Angle Converter for instant calculations. And for all other measurement types, check out our complete list of Conversion tools.
Did you know?
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1 mil at a distance of 1,000 meters represents 1 meter of spread — this makes distance estimation much easier without needing a calculator.
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The NATO mil system was designed for field use, where soldiers had to estimate and adjust without digital tools.
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Ballistic calculators and high-end rifle scopes rely on mil adjustments for elevation and wind drift corrections.
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Rescue operations and firefighting crews use mils on compasses to precisely direct movement across terrain.
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Unlike degrees, mils scale naturally with metric units — making them popular in defense applications worldwide.
Targeting from miles away: Why mils matter
Picture this: you're in a command vehicle, aligning an artillery piece toward a target nearly 10 km away. A half-degree error could mean missing the target by over 150 meters. That's why militaries around the world moved to mils. It allows fine-grained adjustment without needing decimals or large-scale corrections.
Even sniper teams rely on mils to dial in scope adjustments with pinpoint precision. Each click on a mil-based scope represents a small, known shift in impact point at a given distance. At 1,000 meters, a difference of just one mil equals one meter of error — enough to miss entirely.
This level of control is also applied in mapping, air navigation, and engineering instrumentation, where alignment tolerance is tight.
Bringing it all together
The degree to mil conversion isn’t just for math geeks—it’s a critical tool in fields where one tiny adjustment can change everything. Whether you're measuring for tactical alignment, compensating for distance, or programming optics, the formula is simple:
mil = degree × (6400 ÷ 360)
mil ≈ degree × 17.78
Need to switch between angle units quickly? Use our Angle Converter or head to the main Conversion tools hub to handle all your unit needs, fast and accurately.