Convert Radians (rad) to Mils

1 radian equals 1018.59 mils.

Formula: mil = rad × 1018.59

Radian to Mil Converter

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How to Convert Radian to Mil

1 radian = 1018.59 mils

Mil = Radian × 1018.59

Example: 1 rad × 1018.59 = 1018.59 mil

Reverse Conversion

To convert mils back to radians:

  • Remember, 1 mil equals 0.000981748 radians.
  • To convert 1018.59 mil to rad, multiply 1018.59 x 0.000981748, resulting in 1 rad.

Common Radian to Mil Conversions

Radian to Mil (Part 1)
Radian Mil Actions
1 radian 1018.59 mils
5 radians 5092.96 mils
10 radians 10185.9 mils
25 radians 25464.8 mils
Radian to Mil (Part 2)
Radian Mil Actions
50 radians 50929.6 mils
100 radians 101859 mils
500 radians 509296 mils
1000 radians 1018590 mils

Radians to mils Conversion Table

Reference table with common radians to mils conversions. All values calculated with high precision.

Radians to Mils Table
0.0001 to 12

Radians Mils Actions
0.0001 rad 0.101859 mil
0.00025 rad 0.254648 mil
0.0005 rad 0.509296 mil
0.001 rad 1.01859 mil
0.0025 rad 2.54648 mil
0.005 rad 5.09296 mil
0.01 rad 10.1859 mil
0.025 rad 25.4648 mil
0.05 rad 50.9296 mil
0.1 rad 101.859 mil
14 rad 254.648 mil
12 rad 509.296 mil

Radians to Mils Table
1 to 100000

Radians Mils Actions
1 rad 1018.59 mil
2 12 rad 2546.48 mil
5 rad 5092.96 mil
10 rad 10185.9 mil
25 rad 25464.8 mil
50 rad 50929.6 mil
100 rad 101859 mil
250 rad 254648 mil
500 rad 509296 mil
1000 rad 1018590 mil
2500 rad 2546480 mil
5000 rad 5092960 mil
10000 rad 1.01859 × 107 mil
25000 rad 2.54648 × 107 mil
50000 rad 5.09296 × 107 mil
100000 rad 1.01859 × 108 mil

Mils to Radians Table
1 to 5000

Mils Radians Actions
1 mil 0.000981748 rad
2 12 mil 0.00245437 rad
5 mil 0.00490874 rad
10 mil 0.00981748 rad
25 mil 0.0245437 rad
50 mil 0.0490874 rad
100 mil 0.0981748 rad
250 mil 0.245437 rad
500 mil 0.490874 rad
1000 mil 0.981748 rad
2500 mil 2.45437 rad
5000 mil 4.90874 rad

Mils to Radians Table
10000 to 1 × 109

Mils Radians Actions
10000 mil 9.81748 rad
25000 mil 24.5437 rad
50000 mil 49.0874 rad
100000 mil 98.1748 rad
250000 mil 245.437 rad
500000 mil 490.874 rad
1000000 mil 981.748 rad
2500000 mil 2454.37 rad
5000000 mil 4908.74 rad
10000000 mil 9817.48 rad
2.5 × 107 mil 24543.7 rad
5 × 107 mil 49087.4 rad
1 × 108 mil 98174.8 rad
2.5 × 108 mil 245437 rad
5 × 108 mil 490874 rad
1 × 109 mil 981748 rad

Definition of Radian

Definition

The radian (rad) is the SI derived unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius.

Although mathematically dimensionless, the radian is retained as a named unit in the SI to preserve clarity in scientific, engineering, physics, trigonometry, and calculus contexts.

Exact factor
Base unit: 1 rad = 1 rad; full circle: 2π rad = 360°
Examples
  • π rad = 180°
  • 1 rad ≈ 57.2958°
  • 2π rad = 1 turn

Definition of Mil

Definition

The mil is a military angular unit used in ballistics, optics, and range estimation.

In the NATO system, a full circle is divided into 6400 mils.

Exact factor
1 turn = 6400 mil
Examples
  • 100 mil ≈ 5.625°
  • 1 mil ≈ 0.0009817 rad

About the Radian

Facts & Uses

  • SI coherent unit of plane angle: 1 rad = the angle subtended at a circle's center by an arc equal in length to the radius. 1 full circle = 2π rad ≈ 6.283 rad.
  • Universal in mathematics, physics, engineering, and computer graphics — wherever calculus or trigonometric derivatives are involved.
  • Standard for angular velocity (rad/s), angular acceleration (rad/s²), and phase angles in electrical engineering and signal processing.
  • Common reference: π/6 rad = 30°, π/4 = 45°, π/3 = 60°, π/2 = 90°, π = 180°, 2π = 360°.

Curiosities

  • The radian was first proposed by Roger Cotes in 1714, but the name "radian" wasn't coined until 1873 by James Thomson (brother of Lord Kelvin).
  • Programming functions like Math.sin() and Math.cos() in JavaScript, Python, C, and most languages take radians as input — a frequent source of bugs for developers expecting degrees.
  • The reason calculus prefers radians: the derivative of sin(x) is cos(x) only when x is in radians. With degrees, you'd need a π/180 factor everywhere.
  • Approximate equivalents: 1 rad ≈ 57.2958° ≈ 63.66 grad ≈ 3437.75 arcminutes.

Sources

About the Mil

Facts & Uses

  • NATO mil = 1/6400 of a full circle ≈ 0.05625° ≈ 0.000982 rad. Used by NATO militaries for artillery aiming and rifle scope adjustment.
  • Standard in military ballistics, artillery fire control, and precision long-range shooting (mil-dot reticles on rifle scopes).
  • Convenient because 1 mil ≈ 1 m at 1000 m distance — making angular size to range estimation simple in the field.
  • Different national militaries use slightly different mil definitions: NATO/US 6400 mils per circle, Soviet/Warsaw Pact 6000 mils, Sweden 6300 mils.

Curiosities

  • The "true milliradian" is exactly 1/1000 rad = 1/(2000π) of a circle ≈ 6283 mils per circle. The NATO mil was rounded to 6400 for easier mental arithmetic.
  • A rifle scope with 0.1 mil clicks moves the point of impact 1 cm at 100 m, or 10 cm at 1000 m — the precision standard for tactical optics.
  • The mil-dot reticle uses dots spaced 1 mil apart, allowing shooters to estimate target range by knowing the target size: range (m) = target size (m) × 1000 / mils.
  • Approximate equivalents: 1 NATO mil ≈ 0.05625° ≈ 3.375 arcminutes ≈ 0.000982 rad.

Sources

Frequently Asked Questions

How many mils are in one radian?

One radian equals 1018.59 mils. To convert, multiply the radian value by 1018.59. For the reverse, divide the mil value by 1018.59 (or multiply by 0.000981748).

What is 10 radians in mils?

10 radians = 10186 mils. This is one of the most commonly searched conversions for this pair.

How precise is the radian-to-mil conversion?

The factor 1018.59 is accurate to 6 significant figures, derived from international measurement standards. Our calculator uses full precision internally.

Looking for the reverse? Convert Mil to Radian

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Conversion factors verified against BIPM, ISO 80000-3 1 turn = 2π rad = 360° (exact, ISO 80000-3). Last reviewed: March 2026
Adilson Fernandes By Adilson Fernandes
Tiago Fernandes Reviewed by Tiago Fernandes

All unit conversions on CoolConversion use conversion factors defined or documented by internationally recognised standards bodies (such as ISO and NIST), including both SI and non-SI units.