Degrees to Milliradians Converter

Enter the angle in degrees below to convert it to milliradians.

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Result in Milliradians:

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1° = 17.453293 mrad

Do you want to convert milliradians to degrees?


How to Convert Degrees to Milliradians

To convert a measurement in degrees to a measurement in milliradians, multiply the angle by the following conversion ratio: 17.453293 milliradians/degree.

Since one degree is equal to 17.453293 milliradians, you can use this simple formula to convert:

milliradians = degrees × 17.453293

The angle in milliradians is equal to the angle in degrees multiplied by 17.453293.

For example, here's how to convert 5 degrees to milliradians using the formula above.
milliradians = (5° × 17.453293) = 87.266463 mrad
conversion scale showing degrees and equivalent milliradians angle values

How Many Milliradians Are in a Degree?

There are 17.453293 milliradians in a degree, which is why we use this value in the formula above.

1° = 17.453293 mrad

Degrees and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

What Is a Degree?

A degree is a measure of angle equal to 1/360th of a revolution, or circle.[1] The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using arcminutes and arcseconds as an alternative to using the decimal form. Arcminutes and arcseconds are expressed using the prime (′) and double-prime (″) characters, respectively, although a single-quote and double-quote are often used for convenience.

One arcminute is equal to 1/60th of a degree, and one arcsecond is equal to 1/60th of an arcminute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

Learn more about degrees.

What Is a Milliradian?

A milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

Learn more about milliradians.

Degree to Milliradian Conversion Table

Table showing various degree measurements converted to milliradians.
Degrees Milliradians
1° 17.45 mrad
2° 34.91 mrad
3° 52.36 mrad
4° 69.81 mrad
5° 87.27 mrad
6° 104.72 mrad
7° 122.17 mrad
8° 139.63 mrad
9° 157.08 mrad
10° 174.53 mrad
11° 191.99 mrad
12° 209.44 mrad
13° 226.89 mrad
14° 244.35 mrad
15° 261.8 mrad
16° 279.25 mrad
17° 296.71 mrad
18° 314.16 mrad
19° 331.61 mrad
20° 349.07 mrad
21° 366.52 mrad
22° 383.97 mrad
23° 401.43 mrad
24° 418.88 mrad
25° 436.33 mrad
26° 453.79 mrad
27° 471.24 mrad
28° 488.69 mrad
29° 506.15 mrad
30° 523.6 mrad
31° 541.05 mrad
32° 558.51 mrad
33° 575.96 mrad
34° 593.41 mrad
35° 610.87 mrad
36° 628.32 mrad
37° 645.77 mrad
38° 663.23 mrad
39° 680.68 mrad
40° 698.13 mrad

References

  1. Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree

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