Quadrants to Radians (quad → rad)
Formula
1 quad = 1.5707963267948966 radConversion Table
| quad | rad |
|---|---|
| 0 | 0 |
| 1.0000 | 1.5708 |
| 2.0000 | 3.1416 |
| 3.0000 | 4.7124 |
| 4.0000 | 6.2832 |
| 5.0000 | 7.8540 |
| 6.0000 | 9.4248 |
| 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 | rad |
|---|---|
| 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 | rad |
|---|---|
| 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 | rad |
|---|---|
| 60.000 | 94.248 |
| 61.000 | 95.819 |
| 62.000 | 97.389 |
| 63.000 | 98.960 |
| 64.000 | 100.53 |
| 65.000 | 102.10 |
| 66.000 | 103.67 |
| 67.000 | 105.24 |
| 68.000 | 106.81 |
| 69.000 | 108.38 |
| 70.000 | 109.96 |
| 71.000 | 111.53 |
| 72.000 | 113.10 |
| 73.000 | 114.67 |
| 74.000 | 116.24 |
| 75.000 | 117.81 |
| 76.000 | 119.38 |
| 77.000 | 120.95 |
| 78.000 | 122.52 |
| 79.000 | 124.09 |
Quadrants to Radians Conversion
Converting Quadrants (quad) to Radians (rad) is a common angle conversion. 1 quad equals 1.570796 rad. For example, 100 quad is equal to 157.079633 rad.
Quick Mental Math: Quadrants to Radians
0.6366 quadrants is about 1 radian, so use that as a quick check.
Why is converting Quadrants to Radians tricky?
quadrants to radians hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 quad = 1.570796 rad. 5 quad = 7.853982 rad. 10 quad = 15.707963 rad. 25 quad = 39.269908 rad. 50 quad = 78.539816 rad. 100 quad = 157.079633 rad.
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 Radians?
Radians (rad) is a unit of angle. A radian is the SI unit of plane angle defined as the angle subtended at the center of a circle by an arc equal in length to the radius. One radian equals approximately 57.2958 degrees or exactly 1 rad = radius/arc length ratio. It is a dimensionless unit used extensively in mathematics, physics, and engineering [bipm-si-brochure]. The radian concept was formalized in the 19th century, with mathematicians like Roger Cotes contributing to its development. The radian was adopted as the standard angular unit in the SI system to provide a natural measure of angles based on circle geometry [bipm-si-brochure]. Radians are the standard unit of angular measurement in science, engineering, and technology worldwide. They are used in trigonometry, rotational dynamics, and signal processing, with formal adoption by the BIPM and ISO 80000 standards [bipm-si-brochure, iso-80000].
Common Misspellings
People often search for this conversion using these alternate spellings: quadrant, quadrent, quantant, radianes, radias, radans, radiens. All of these refer to the Quadrants to Radians conversion.