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Angle Converter

Degree to Milliradian Converter

Convert Degree (°) to Milliradian (mrad) instantly with our interactive tool, benchmark tables, and detailed unit information.

1 ° = 17.4533 mrad
Editable
°
Input
Auto-Calculated
mrad
Result
Angle conversion — instant results

Convert Degree to Milliradian

1 ° = 17.4533 mrad
Degree (°) Milliradian (mrad)
1 ° 17.453293 mrad
5 ° 87.266463 mrad
10 ° 174.532925 mrad
25 ° 436.332313 mrad
50 ° 872.664626 mrad
100 ° 1,745.329252 mrad
500 ° 8,726.64626 mrad
1,000 ° 17,453.29252 mrad

Convert Milliradian to Degree

1 mrad = 0.0573 °
Milliradian (mrad) Degree (°)
1 mrad 0.057296 °
5 mrad 0.286479 °
10 mrad 0.572958 °
25 mrad 1.432394 °
50 mrad 2.864789 °
100 mrad 5.729578 °
500 mrad 28.64789 °
1,000 mrad 57.29578 °

About Degree and Milliradian

Detailed information about both units of measurement.

ANGULAR UNIT

Degree

°
Definition
The most common angular unit. A full circle is divided into 360 equal parts called degrees.
SI / Standard Information
Not an SI unit but widely used. The 360-degree system originates from ancient Babylonian astronomy and their base-60 number system.
Approximate Comparison
One degree is about the width of a little finger held at arm's length.
Practical Applications
  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement
Real-World Examples
  • A right angle is 90 degrees
  • The Earth's axis is tilted at 23.5 degrees
  • A triangle's interior angles sum to 180 degrees
ANGULAR UNIT

Milliradian

mrad
Definition
One-thousandth of a radian. Used in military targeting, optics, and precision engineering.
SI / Standard Information
SI-derived unit (mrad). 1 mrad = 0.001 rad. At 1,000 meters, 1 mrad subtends approximately 1 meter. Used in rifle scopes and surveying.
Approximate Comparison
At arm's length (1 m), 1 mrad is about the thickness of a credit card.
Practical Applications
  • Rifle scope mil-dot reticles
  • Military and tactical targeting
  • Surveying and theodolite measurement
  • Laser beam divergence
Real-World Examples
  • A standard mil-dot scope uses 0.1 mrad adjustments
  • The Moon subtends about 9 mrad from Earth
  • A typical laser pointer has about 1-2 mrad divergence

About Converting Degree to Milliradian

Our Degree to Milliradian converter provides instant, accurate conversion between these two essential angle units. Whether you are working in engineering, construction, education, or everyday angle measurement, this tool delivers precise results with zero friction.

The Degree (°) is a angular unit of angle. The most common angular unit. A full circle is divided into 360 equal parts called degrees. One degree is about the width of a little finger held at arm's length.

The Milliradian (mrad) is a angular unit of angle. One-thousandth of a radian. Used in military targeting, optics, and precision engineering. At arm's length (1 m), 1 mrad is about the thickness of a credit card.

Conversion Formula & Worked Examples

The conversion between ° and mrad uses the following mathematical relationship:

Milliradian = Degree × 17.453293

Degree = Milliradian × 0.057296

Whether you need to convert for navigation and gps coordinates or rifle scope mil-dot reticles, our interactive converter provides instant, accurate results.

Example

1 °

=

17.4533 mrad

Example

5 °

=

87.2665 mrad

Example

10 °

=

174.5329 mrad

Reverse Direction

Need to convert Milliradian back into Degree?

Switch conversion direction to view Milliradian → Degree tables, benchmarks, and detailed info.

Open Milliradian → Degree

Practical Use Cases & Applications

° Degree

  • Navigation and GPS coordinates
  • Engineering and construction angles
  • Geometry and mathematics education
  • Compass and direction measurement

mrad Milliradian

  • Rifle scope mil-dot reticles
  • Military and tactical targeting
  • Surveying and theodolite measurement
  • Laser beam divergence

Frequently Asked Questions

Common questions about this conversion and related measurement topics.

How do I convert Degree to Milliradian?
To convert Degree (°) to Milliradian (mrad), multiply the degree value by the conversion factor. Our converter below handles this instantly — just enter the value in ° and the mrad result appears in real time.
How many Milliradians are in one degree?
One degree (°) equals approximately 17.453293 milliradian (mrad). This conversion factor is constant and can be used for any degree value.
What is the formula to convert ° to mrad?
The conversion formula is: <strong>Milliradian = Degree × 17.453293</strong>. For example, 5 ° × 17.4533 = 87.2665 mrad, and 10 ° × 17.4533 = 174.5329 mrad.
Can I convert Milliradian back to Degree?
Yes! Use the reverse direction on our converter, or visit our dedicated <a href="/angle/milliradians-to-degrees/" class="text-accent-teal underline">Milliradian to Degree converter</a>. The reverse conversion factor is approximately 1 mrad = 0.057296 °.
Where is Degree commonly used?
Navigation and GPS coordinates, Engineering and construction angles, Geometry and mathematics education. The most common angular unit. A full circle is divided into 360 equal parts called degrees.
What is the difference between Degree and Milliradian?
Degree (°) and Milliradian (mrad) are both units of angle. Degree belongs to the angular system, while Milliradian belongs to the angular system. Understanding the conversion between them is essential for international work in angle measurement.
What are some real-world examples of degrees and milliradians?
Degree: A right angle is 90 degrees; The Earth's axis is tilted at 23.5 degrees Milliradian: A standard mil-dot scope uses 0.1 mrad adjustments; The Moon subtends about 9 mrad from Earth

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About This Conversion ℹ

This Degree to Milliradian converter provides accurate, real-time conversions between these two angle units.

Both units are among the most commonly used angle measurements — rated 10/10 and 5/10 in popularity.

Bookmark this page for quick access to the Degree → Milliradian converter whenever you need precise unit conversion.

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