Quadrants to Milliradians (quad → mrad)
Formula
1 quad = 1570.7963267948965 mradConversion Table
| quad | mrad |
|---|---|
| 0 | 0 |
| 1.0000 | 1,570.8 |
| 2.0000 | 3,141.6 |
| 3.0000 | 4,712.4 |
| 4.0000 | 6,283.2 |
| 5.0000 | 7,854.0 |
| 6.0000 | 9,424.8 |
| 7.0000 | 10,996 |
| 8.0000 | 12,566 |
| 9.0000 | 14,137 |
| 10.000 | 15,708 |
| 11.000 | 17,279 |
| 12.000 | 18,850 |
| 13.000 | 20,420 |
| 14.000 | 21,991 |
| 15.000 | 23,562 |
| 16.000 | 25,133 |
| 17.000 | 26,704 |
| 18.000 | 28,274 |
| 19.000 | 29,845 |
| quad | mrad |
|---|---|
| 20.000 | 31,416 |
| 21.000 | 32,987 |
| 22.000 | 34,558 |
| 23.000 | 36,128 |
| 24.000 | 37,699 |
| 25.000 | 39,270 |
| 26.000 | 40,841 |
| 27.000 | 42,412 |
| 28.000 | 43,982 |
| 29.000 | 45,553 |
| 30.000 | 47,124 |
| 31.000 | 48,695 |
| 32.000 | 50,265 |
| 33.000 | 51,836 |
| 34.000 | 53,407 |
| 35.000 | 54,978 |
| 36.000 | 56,549 |
| 37.000 | 58,119 |
| 38.000 | 59,690 |
| 39.000 | 61,261 |
| quad | mrad |
|---|---|
| 40.000 | 62,832 |
| 41.000 | 64,403 |
| 42.000 | 65,973 |
| 43.000 | 67,544 |
| 44.000 | 69,115 |
| 45.000 | 70,686 |
| 46.000 | 72,257 |
| 47.000 | 73,827 |
| 48.000 | 75,398 |
| 49.000 | 76,969 |
| 50.000 | 78,540 |
| 51.000 | 80,111 |
| 52.000 | 81,681 |
| 53.000 | 83,252 |
| 54.000 | 84,823 |
| 55.000 | 86,394 |
| 56.000 | 87,965 |
| 57.000 | 89,535 |
| 58.000 | 91,106 |
| 59.000 | 92,677 |
| quad | mrad |
|---|---|
| 60.000 | 94,248 |
| 61.000 | 95,819 |
| 62.000 | 97,389 |
| 63.000 | 98,960 |
| 64.000 | 100,530 |
| 65.000 | 102,100 |
| 66.000 | 103,670 |
| 67.000 | 105,240 |
| 68.000 | 106,810 |
| 69.000 | 108,380 |
| 70.000 | 109,960 |
| 71.000 | 111,530 |
| 72.000 | 113,100 |
| 73.000 | 114,670 |
| 74.000 | 116,240 |
| 75.000 | 117,810 |
| 76.000 | 119,380 |
| 77.000 | 120,950 |
| 78.000 | 122,520 |
| 79.000 | 124,090 |
Quadrants to Milliradians Conversion
Converting Quadrants (quad) to Milliradians (mrad) is a common angle conversion. 1 quad equals 1,570.796327 mrad. For example, 100 quad is equal to 157,079.632679 mrad.
Quick Mental Math: Quadrants to Milliradians
0.01273 quadrants is about 20 milliradians, so use that as a quick check.
Why is converting Quadrants to Milliradians tricky?
quadrants to milliradians hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 quad = 1,570.796327 mrad. 5 quad = 7,853.981634 mrad. 10 quad = 15,707.963268 mrad. 25 quad = 39,269.90817 mrad. 50 quad = 78,539.81634 mrad. 100 quad = 157,079.632679 mrad.
What is Quadrants?
Quadrants (quad) is a unit of angle. A quadrant is a unit of angular measurement equal to one quarter of a full circle or 90 degrees. It is used to divide circles into four equal parts, each covering 90° [iso-80000]. The quadrant was originally used in navigation and astronomy during the Middle Ages, particularly in the 15th and 16th centuries, as a tool for measuring angles up to 90 degrees [iso-80000]. Quadrants are applied in navigation, surveying, and geometry worldwide to describe directions or sections of a plane or sphere [iso-80000].
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].
Common Misspellings
People often search for this conversion using these alternate spellings: quadrant, quadrent, quantant, milli radian, millirad, miliradian, mradn, milirads. All of these refer to the Quadrants to Milliradians conversion.