Mil to Quadrant Converter
Convert mils to quadrants with our free online angle converter.
Quick Answer
1 Mil = 0.000625 quadrants
Formula: Mil × conversion factor = Quadrant
Use the calculator below for instant, accurate conversions.
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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Mil to Quadrant Calculator
How to Use the Mil to Quadrant Calculator:
- Enter the value you want to convert in the 'From' field (Mil).
- The converted value in Quadrant will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Angle category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Mil to Quadrant: Step-by-Step Guide
Converting Mil to Quadrant involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
quad = mil × 0.000625Example Calculation:
1 mil = 0.000625 quad
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
Need to convert to other angle units?
View all Angle conversions →What is a Mil and a Quadrant?
NATO mil: 1 mil = 1/6400 of a circle ≈ 0.05625 degrees ≈ 0.000982 radians
Alternative definitions:
- NATO/US military: 6400 mils = 360° (standard)
- Soviet/Russian: 6000 mils = 360°
- Swedish: 6300 mils = 360°
- True milliradian: 1000 milliradians = 1 radian (6283.2 mils = 360°)
Key conversions (NATO mil):
- 1 mil ≈ 0.05625 degrees
- 1600 mils = 90 degrees (right angle)
- 3200 mils = 180 degrees
- 6400 mils = 360 degrees (full circle)
1 quadrant = 1/4 of a full circle = 90 degrees = π/2 radians ≈ 1.5708 radians
Key conversions:
- 1 quadrant = 90 degrees
- 1 quadrant = π/2 ≈ 1.5708 radians
- 1 quadrant = 100 gradians (or gons)
- 4 quadrants = 360 degrees (full circle)
- 2 quadrants = 180 degrees (straight angle)
Symbol: quad or Q (sometimes written as "right angle")
Note: The Mil is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Quadrant belongs to the imperial/US customary system.
Common Uses and Applications: mils vs quadrants
Explore the typical applications for both Mil (imperial/US) and Quadrant (imperial/US) to understand their common contexts.
Common Uses for mils
Military Artillery: Gun laying, indirect fire calculations, ballistic corrections. Sniper Operations: Scope adjustments, windage, elevation corrections for long-range shooting. Rangefinding: Estimating target distance using known target size and angular measurements. Fire Control Systems: Tank gunnery, naval artillery, anti-aircraft targeting.
When to Use quadrants
Coordinate Systems: Cartesian plane divided into four quadrants (I, II, III, IV). Navigation: Compass quadrants (NE, SE, SW, NW) for direction description. Astronomy: Celestial sphere divided into quadrants for star mapping. Geometry: Right angles and perpendicular measurements in construction and design.
Additional Unit Information
About Mil (mil)
How do I convert mils to degrees?
Formula (NATO mil): Degrees = Mils × (360/6400) = Mils × 0.05625
Examples:
- 100 mils = 5.625°
- 1600 mils = 90°
- 3200 mils = 180°
- 6400 mils = 360°
- 1 mil ≈ 0.05625°
How do mils work for range estimation?
Fundamental principle: At 1000 meters, 1 mil subtends approximately 1 meter.
Range formula: Range (m) = (Object size in meters × 1000) ÷ Object size in mils
Common target sizes:
- Adult human: ~1.7m tall
- Doorway: ~2m tall
- Car: ~4m long, ~1.5m tall
- Tank: ~3m wide, ~2.5m tall
- Shipping container: ~12m long, ~2.5m tall
Example: If a 2-meter tall object appears to be 4 mils in your scope, it's 500 meters away: (2 × 1000) ÷ 4 = 500m
What's the difference between NATO mils and Russian mils?
NATO/US Military: 6400 mils = 360° (1 mil = 0.05625°)
- Used by NATO countries, US military, most Western forces
- Divides circle into 6400 parts (approximation of 2000π)
Soviet/Russian: 6000 mils = 360° (1 mil = 0.06°)
- Used by Russian and former Soviet militaries
- Divides circle into 6000 parts (decimal convenience)
Practical impact: Russian mil is slightly larger. Always verify which system your equipment uses. Most modern Western civilian and military equipment uses NATO mils.
How do mil-dot scopes work?
Mil-dot reticle: Crosshairs marked with dots spaced 1 mil apart (center-to-center).
Applications:
- Range estimation: Measure target size in mils, calculate distance
- Holdover: Use lower dots for bullet drop compensation
- Windage: Use horizontal dots for wind drift correction
- Moving targets: Lead calculation using mil spacing
Example: Target (1.7m tall person) covers 2 mil-dots → Range = (1.7 × 1000) ÷ 2 = 850 meters
Modern variations: Mil-dot, mil-hash, Christmas tree reticles all use milliradian spacing for calculations.
About Quadrant (quad)
How do I convert quadrants to degrees?
Formula: Degrees = Quadrants × 90
Examples:
- 1 quadrant = 90°
- 2 quadrants = 180°
- 3 quadrants = 270°
- 4 quadrants = 360°
- 0.5 quadrants = 45°
Quadrants to Degrees converter →
How do I convert quadrants to radians?
Formula: Radians = Quadrants × (π/2) ≈ Quadrants × 1.5708
Examples:
- 1 quadrant = π/2 ≈ 1.571 radians
- 2 quadrants = π ≈ 3.142 radians
- 3 quadrants = 3π/2 ≈ 4.712 radians
- 4 quadrants = 2π ≈ 6.283 radians
- 0.5 quadrants = π/4 ≈ 0.785 radians
Quadrants to Radians converter →
What are the four quadrants in a coordinate plane?
Quadrant system divides the Cartesian plane using x and y axes:
Quadrant I (First): x > 0, y > 0
- Angles: 0° to 90° (or 0 to π/2 radians)
- Example point: (3, 4)
Quadrant II (Second): x < 0, y > 0
- Angles: 90° to 180° (or π/2 to π radians)
- Example point: (-3, 4)
Quadrant III (Third): x < 0, y < 0
- Angles: 180° to 270° (or π to 3π/2 radians)
- Example point: (-3, -4)
Quadrant IV (Fourth): x > 0, y < 0
- Angles: 270° to 360° (or 3π/2 to 2π radians)
- Example point: (3, -4)
Axes: Points on x or y axes are not in any quadrant.
Why is a right angle called a quadrant?
Etymology: "Quadrant" comes from Latin "quadrans" meaning "fourth part."
Historical context:
- A right angle is 1/4 of a full circle rotation
- Ancient navigational instruments called "quadrants" were quarter-circle shaped
- The term emphasizes the fractional relationship: 1 quadrant = 1/4 circle
Modern usage: While "right angle" is more common in everyday geometry, "quadrant" is still used in:
- Coordinate systems (Quadrant I, II, III, IV)
- Navigation and surveying
- Astronomy and celestial mechanics
- Mathematical analysis and calculus
The term "quadrant" emphasizes the measurement as a fraction of a circle, while "right angle" emphasizes the geometric perpendicularity (90°).
Conversion Table: Mil to Quadrant
| Mil (mil) | Quadrant (quad) |
|---|---|
| 0.5 | 0 |
| 1 | 0.001 |
| 1.5 | 0.001 |
| 2 | 0.001 |
| 5 | 0.003 |
| 10 | 0.006 |
| 25 | 0.016 |
| 50 | 0.031 |
| 100 | 0.063 |
| 250 | 0.156 |
| 500 | 0.313 |
| 1,000 | 0.625 |
People Also Ask
How do I convert Mil to Quadrant?
To convert Mil to Quadrant, enter the value in Mil in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our angle converter page to convert between other units in this category.
Learn more →What is the conversion factor from Mil to Quadrant?
The conversion factor depends on the specific relationship between Mil and Quadrant. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Quadrant back to Mil?
Yes! You can easily convert Quadrant back to Mil by using the swap button (⇌) in the calculator above, or by visiting our Quadrant to Mil converter page. You can also explore other angle conversions on our category page.
Learn more →What are common uses for Mil and Quadrant?
Mil and Quadrant are both standard units used in angle measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our angle converter for more conversion options.
For more angle conversion questions, visit our FAQ page or explore our conversion guides.
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Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Fundamental physical constants and unit conversions
Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards
International Organization for Standardization — Quantities and units international standards series
Last verified: February 19, 2026