Milliradians to Degrees Calculator

- May 14, 2025

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Convert angles from milliradians (mrad) to degrees (°). Milliradians are commonly used in military, shooting, and surveying applications where precise angular measurements are required.

Milliradians to Degrees Conversion

Milliradians (mrad):

Common Values:

Decimal Places:

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Conversion Result

Degrees

Formula Used

degrees = milliradians × (180 / (1000 × π))

To convert milliradians to degrees, multiply the milliradian value by 180/(1000π), which is approximately 0.057296.

About Milliradians and Their Uses

A milliradian (mrad) is one-thousandth of a radian. Since a full circle is 2π radians, a full circle equals 2000π milliradians (approximately 6,283.18 mrad).

Uses of Milliradians

Military: Used for artillery fire control, range estimation, and sniper scopes.
Surveying: For precise angular measurements in geodetic surveying.
Shooting: Many rifle scopes are calibrated in milliradians (often called "mils").
Engineering: For small angle measurements in precision engineering.

Practical Application

In shooting applications, 1 milliradian corresponds to approximately 1 centimeter at 10 meters, or 1 inch at 100 yards. This makes milliradians especially useful for range estimation and bullet drop compensation.

Conversion Relations

1 milliradian = 0.057296 degrees
1 milliradian = 3.43775 minutes of arc (MOA)
1 milliradian = 0.001 radians
1 degree = 17.45329 milliradians

Common Milliradian Values

Milliradians	Degrees	Common Usage
1 mrad	0.057296°	Fine adjustment in rifle scopes
5 mrad	0.286479°	Small angle corrections
10 mrad	0.572958°	Typical windage correction
17.45 mrad	~1°	Approximate equivalent to 1 degree
100 mrad	5.72958°	Medium angle measurement
1000 mrad	57.2958°	Large angle measurement
1570.8 mrad	~90°	Approximately right angle
6283.18 mrad	360°	Full circle (2π radians)

Milliradians to Degrees Calculator: Convert Angles Quickly and Accurately

The Milliradians to Degrees Calculator is a practical unit conversion tool designed to help you convert milliradian values into degrees with ease. Whether you're adjusting a rifle scope, working in surveying, or handling precision measurements in engineering, this conversion helper delivers fast and reliable results.

Conversion Formula:
degrees = milliradians × (180 / (1000 × π))

This formula allows you to find the degree equivalent of any milliradian value. It simplifies to approximately:

degrees ≈ milliradians × 0.057296

What Are Milliradians?

A milliradian (mrad) is a unit of angular measurement. It is commonly used in fields where fine angular precision is required:

Military: Adjusting artillery or sniper scopes
Shooting: Calculating bullet drop or wind adjustments
Surveying: Measuring small angles across distances
Engineering: High-precision component alignment

One full circle equals approximately 6,283.18 milliradians or exactly 2π radians.

How to Use the Calculator

This angle conversion tool is built for efficiency and ease of use. Here's how to get started:

Enter a value in milliradians in the input field.
Choose the number of decimal places you want in the result.
Optionally, select a preset value for common use cases like 1 mrad, 5 mrad, or 6283.18 mrad (a full circle).
Click "Convert to Degrees" to see the result instantly.
Use the checkboxes to show the formula or additional angle units such as radians, minutes of arc (MOA), or NATO mils.

Benefits of Using This Tool

This mrad to degree conversion tool is more than just a simple calculator. It’s a useful aid for professionals and enthusiasts who need accurate angular conversions at a glance. Benefits include:

Fast value conversion for milliradians into degrees
Precision formatting with selectable decimal places
Educational insights with clear formulas and background info
Helpful presets for common measurement scenarios
Additional units available at a click for extended conversions

Frequently Asked Questions (FAQ)

What is a milliradian in degrees?

1 milliradian equals approximately 0.057296 degrees. This allows for fine adjustments in angular measurements.

Why use milliradians instead of degrees?

Milliradians offer a more precise scale for small angles, which is ideal in shooting, surveying, and military range estimation.

Can I convert degrees to milliradians too?

Yes, though this calculator focuses on milliradians into degrees. You may find a Degrees to Milliradians Calculator useful for reverse conversion.

What are NATO mils?

NATO mils divide a circle into 6400 parts. This tool also gives the equivalent in NATO mils for broader applicability.

Is this tool accurate for engineering or academic work?

Yes. The formula used ensures reliable precision suitable for both educational and professional environments. You can select up to 8 decimal places if needed.

Quick Reference Table

Milliradians	Degrees	Common Use
1	0.057296°	Scope adjustments
5	0.286479°	Windage correction
10	0.572958°	Basic targeting
100	5.72958°	Mid-angle evaluation
1000	57.2958°	Large angle measurement
6283.18	360°	Full circle

Explore Related Angle Conversions

Looking for more angle conversion tools? Check out these useful options:

Convert degrees to milliradians for reverse angle measurement
Convert degrees to radians with a simple angle conversion tool
Radians to Degrees Calculator for precise radian to degree conversions

Whether you're a student, professional, or hobbyist, this milliradian angle conversion utility gives you the clarity and speed to work confidently with angular measurements.