How do I convert 10 milliradians to degrees?
Multiply 10 milliradians by 0.0572958 to get degrees: 10 × 0.0572958 = 0.572958 degrees.
Milliradians to Degrees (mrad → °)
Formula
1 mrad = 0.057295779513082325 °Conversion Table
| mrad | ° |
|---|---|
| 0 | 0 |
| 1.0000 | 0.057296 |
| 2.0000 | 0.11459 |
| 3.0000 | 0.17189 |
| 4.0000 | 0.22918 |
| 5.0000 | 0.28648 |
| 6.0000 | 0.34377 |
| 7.0000 | 0.40107 |
| 8.0000 | 0.45837 |
| 9.0000 | 0.51566 |
| 10.000 | 0.57296 |
| 11.000 | 0.63025 |
| 12.000 | 0.68755 |
| 13.000 | 0.74485 |
| 14.000 | 0.80214 |
| 15.000 | 0.85944 |
| 16.000 | 0.91673 |
| 17.000 | 0.97403 |
| 18.000 | 1.0313 |
| 19.000 | 1.0886 |
| mrad | ° |
|---|---|
| 20.000 | 1.1459 |
| 21.000 | 1.2032 |
| 22.000 | 1.2605 |
| 23.000 | 1.3178 |
| 24.000 | 1.3751 |
| 25.000 | 1.4324 |
| 26.000 | 1.4897 |
| 27.000 | 1.5470 |
| 28.000 | 1.6043 |
| 29.000 | 1.6616 |
| 30.000 | 1.7189 |
| 31.000 | 1.7762 |
| 32.000 | 1.8335 |
| 33.000 | 1.8908 |
| 34.000 | 1.9481 |
| 35.000 | 2.0054 |
| 36.000 | 2.0626 |
| 37.000 | 2.1199 |
| 38.000 | 2.1772 |
| 39.000 | 2.2345 |
| mrad | ° |
|---|---|
| 40.000 | 2.2918 |
| 41.000 | 2.3491 |
| 42.000 | 2.4064 |
| 43.000 | 2.4637 |
| 44.000 | 2.5210 |
| 45.000 | 2.5783 |
| 46.000 | 2.6356 |
| 47.000 | 2.6929 |
| 48.000 | 2.7502 |
| 49.000 | 2.8075 |
| 50.000 | 2.8648 |
| 51.000 | 2.9221 |
| 52.000 | 2.9794 |
| 53.000 | 3.0367 |
| 54.000 | 3.0940 |
| 55.000 | 3.1513 |
| 56.000 | 3.2086 |
| 57.000 | 3.2659 |
| 58.000 | 3.3232 |
| 59.000 | 3.3805 |
| mrad | ° |
|---|---|
| 60.000 | 3.4377 |
| 61.000 | 3.4950 |
| 62.000 | 3.5523 |
| 63.000 | 3.6096 |
| 64.000 | 3.6669 |
| 65.000 | 3.7242 |
| 66.000 | 3.7815 |
| 67.000 | 3.8388 |
| 68.000 | 3.8961 |
| 69.000 | 3.9534 |
| 70.000 | 4.0107 |
| 71.000 | 4.0680 |
| 72.000 | 4.1253 |
| 73.000 | 4.1826 |
| 74.000 | 4.2399 |
| 75.000 | 4.2972 |
| 76.000 | 4.3545 |
| 77.000 | 4.4118 |
| 78.000 | 4.4691 |
| 79.000 | 4.5264 |
Milliradians to Degrees Conversion
Milliradians convert to degrees through a scale factor with no offset. One milliradian equals approximately 0.0572958 degrees. This conversion is common in engineering and optics, where angular measurements in radians must be expressed in degrees for practical interpretation and communication.
Sources: NIST Guide for the Use of the SI
Milliradians → Degrees
Converting Milliradians (mrad) to Degrees (°) is a common angle conversion. 1 mrad equals 0.057296 °. For example, 100 mrad is equal to 5.729578 °.
Quick Mental Math: Milliradians to Degrees
Approximate degrees by multiplying milliradians by 0.057 (close enough for quick estimates).
Why is converting Milliradians to Degrees tricky?
Confusion arises due to radians being dimensionless angles and degrees being sexagesimal subdivisions, requiring careful application of scale factors.
Quick Reference Values
1 mrad = 0.057296 °. 5 mrad = 0.286479 °. 10 mrad = 0.572958 °. 25 mrad = 1.432394 °. 50 mrad = 2.864789 °. 100 mrad = 5.729578 °.
What is Milliradians?
Milliradians (mrad) is a unit of angle. The milliradian (mrad) is an angular measurement unit equal to one-thousandth of a radian. Since 1 radian equals approximately 57.2958 degrees, 1 mrad equals 0.0573 degrees. It is primarily used in ballistics, optics, and surveying for angular precision [bipm-si-brochure]. The radian was formally defined in the early 20th century as a standard SI unit of angle. The milliradian emerged as a practical subdivision for fine angular measurements, adopted by military and scientific communities for targeting and measurement accuracy [nist-si-guide]. Milliradians are standard in NATO countries' military aiming devices, European surveying, and optical instrumentation globally. The unit is recognized by BIPM as a derived SI unit for plane angle [bipm-si-brochure].
What is Degrees?
Degrees (°) is a unit of angle. A degree is a unit of angular measurement defined as 1/360 of a full rotation or circle. One degree equals exactly π/180 radians, aligning with the International System of Units (SI) conventions for angles. It is commonly used in geometry, navigation, and geospatial coordinates to measure angles and directions [iso-80000]. The degree originated with the ancient Babylonians around 3000 BCE, who divided a circle into 360 parts likely based on their sexagesimal numeral system. This system was formalized over centuries and incorporated into modern angle measurement standards. The consistent division into 360 degrees became globally accepted due to its mathematical convenience and historical use [iso-80000]. Degrees are used worldwide in navigation, astronomy, cartography, and engineering. Countries including the United States, Canada, and members of the European Union employ degrees for geographic coordinates. Scientific organizations such as ISO and BIPM recognize degrees as a standard unit for angles [bipm-si-brochure].
Common Misspellings
People often search for this conversion using these alternate spellings: milli radian, millirad, miliradian, mradn, milirads, degres, degreess, degreees, degre, degr. All of these refer to the Milliradians to Degrees conversion.
FAQ
Why use milliradians instead of degrees?
Milliradians relate linearly to distances, useful in military and surveying, whereas degrees are more common in general navigation and maps.