Radians to Arcminutes (rad → ′)
Formula
1 rad = 3437.7467707849396 ′Conversion Table
| rad | ′ |
|---|---|
| 0 | 0 |
| 1.0000 | 3,437.7 |
| 2.0000 | 6,875.5 |
| 3.0000 | 10,313 |
| 4.0000 | 13,751 |
| 5.0000 | 17,189 |
| 6.0000 | 20,626 |
| 7.0000 | 24,064 |
| 8.0000 | 27,502 |
| 9.0000 | 30,940 |
| 10.000 | 34,377 |
| 11.000 | 37,815 |
| 12.000 | 41,253 |
| 13.000 | 44,691 |
| 14.000 | 48,128 |
| 15.000 | 51,566 |
| 16.000 | 55,004 |
| 17.000 | 58,442 |
| 18.000 | 61,879 |
| 19.000 | 65,317 |
| rad | ′ |
|---|---|
| 20.000 | 68,755 |
| 21.000 | 72,193 |
| 22.000 | 75,630 |
| 23.000 | 79,068 |
| 24.000 | 82,506 |
| 25.000 | 85,944 |
| 26.000 | 89,381 |
| 27.000 | 92,819 |
| 28.000 | 96,257 |
| 29.000 | 99,695 |
| 30.000 | 103,130 |
| 31.000 | 106,570 |
| 32.000 | 110,010 |
| 33.000 | 113,450 |
| 34.000 | 116,880 |
| 35.000 | 120,320 |
| 36.000 | 123,760 |
| 37.000 | 127,200 |
| 38.000 | 130,630 |
| 39.000 | 134,070 |
| rad | ′ |
|---|---|
| 40.000 | 137,510 |
| 41.000 | 140,950 |
| 42.000 | 144,390 |
| 43.000 | 147,820 |
| 44.000 | 151,260 |
| 45.000 | 154,700 |
| 46.000 | 158,140 |
| 47.000 | 161,570 |
| 48.000 | 165,010 |
| 49.000 | 168,450 |
| 50.000 | 171,890 |
| 51.000 | 175,330 |
| 52.000 | 178,760 |
| 53.000 | 182,200 |
| 54.000 | 185,640 |
| 55.000 | 189,080 |
| 56.000 | 192,510 |
| 57.000 | 195,950 |
| 58.000 | 199,390 |
| 59.000 | 202,830 |
| rad | ′ |
|---|---|
| 60.000 | 206,260 |
| 61.000 | 209,700 |
| 62.000 | 213,140 |
| 63.000 | 216,580 |
| 64.000 | 220,020 |
| 65.000 | 223,450 |
| 66.000 | 226,890 |
| 67.000 | 230,330 |
| 68.000 | 233,770 |
| 69.000 | 237,200 |
| 70.000 | 240,640 |
| 71.000 | 244,080 |
| 72.000 | 247,520 |
| 73.000 | 250,960 |
| 74.000 | 254,390 |
| 75.000 | 257,830 |
| 76.000 | 261,270 |
| 77.000 | 264,710 |
| 78.000 | 268,140 |
| 79.000 | 271,580 |
Radians to Arcminutes Conversion
Converting Radians (rad) to Arcminutes (′) is a common angle conversion. 1 rad equals 3,437.746771 ′. For example, 100 rad is equal to 343,774.677078 ′.
Quick Mental Math: Radians to Arcminutes
Use pi radians as 10,800 arcminutes, so 0.5 radians is about 1,719 arcminutes.
Why is converting Radians to Arcminutes tricky?
radians to arcminutes hides a pi-based factor, so treating the step as a clean base-10 shift gives the wrong size.
Quick Reference Values
1 rad = 3,437.746771 ′. 5 rad = 17,188.733854 ′. 10 rad = 34,377.467708 ′. 25 rad = 85,943.66927 ′. 50 rad = 171,887.338539 ′. 100 rad = 343,774.677078 ′.
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].
What is Arcminutes?
Arcminutes (′) is a unit of angle. An arcminute is a unit of angular measurement equal to 1/60 of one degree. It corresponds to 1/21,600 of a full circle or precisely 1/60 of a degree, where one degree equals 1/360 of a full rotation [iso-80000]. Arcminutes are used to measure small angles in astronomy and navigation. The concept of subdividing degrees into minutes dates back to ancient Babylonian astronomy and was formalized in modern angular measurement systems by international standards organizations in the 20th century [iso-80000]. Arcminutes are widely used in astronomy worldwide for specifying celestial coordinates and resolving power of telescopes. They also appear in cartography and geodesy standards internationally [nist-si-guide].
Common Misspellings
People often search for this conversion using these alternate spellings: radianes, radias, radans, radiens, arc minute, arc min, arcminuteses, arcminutess. All of these refer to the Radians to Arcminutes conversion.