Arcminutes to Radians (′ → rad)
Formula
1 ′ = 0.0002908882086657216 radConversion Table
| ′ | rad |
|---|---|
| 0 | 0 |
| 1.0000 | 0.00029089 |
| 2.0000 | 0.00058178 |
| 3.0000 | 0.00087266 |
| 4.0000 | 0.0011636 |
| 5.0000 | 0.0014544 |
| 6.0000 | 0.0017453 |
| 7.0000 | 0.0020362 |
| 8.0000 | 0.0023271 |
| 9.0000 | 0.0026180 |
| 10.000 | 0.0029089 |
| 11.000 | 0.0031998 |
| 12.000 | 0.0034907 |
| 13.000 | 0.0037815 |
| 14.000 | 0.0040724 |
| 15.000 | 0.0043633 |
| 16.000 | 0.0046542 |
| 17.000 | 0.0049451 |
| 18.000 | 0.0052360 |
| 19.000 | 0.0055269 |
| ′ | rad |
|---|---|
| 20.000 | 0.0058178 |
| 21.000 | 0.0061087 |
| 22.000 | 0.0063995 |
| 23.000 | 0.0066904 |
| 24.000 | 0.0069813 |
| 25.000 | 0.0072722 |
| 26.000 | 0.0075631 |
| 27.000 | 0.0078540 |
| 28.000 | 0.0081449 |
| 29.000 | 0.0084358 |
| 30.000 | 0.0087266 |
| 31.000 | 0.0090175 |
| 32.000 | 0.0093084 |
| 33.000 | 0.0095993 |
| 34.000 | 0.0098902 |
| 35.000 | 0.010181 |
| 36.000 | 0.010472 |
| 37.000 | 0.010763 |
| 38.000 | 0.011054 |
| 39.000 | 0.011345 |
| ′ | rad |
|---|---|
| 40.000 | 0.011636 |
| 41.000 | 0.011926 |
| 42.000 | 0.012217 |
| 43.000 | 0.012508 |
| 44.000 | 0.012799 |
| 45.000 | 0.013090 |
| 46.000 | 0.013381 |
| 47.000 | 0.013672 |
| 48.000 | 0.013963 |
| 49.000 | 0.014254 |
| 50.000 | 0.014544 |
| 51.000 | 0.014835 |
| 52.000 | 0.015126 |
| 53.000 | 0.015417 |
| 54.000 | 0.015708 |
| 55.000 | 0.015999 |
| 56.000 | 0.016290 |
| 57.000 | 0.016581 |
| 58.000 | 0.016872 |
| 59.000 | 0.017162 |
| ′ | rad |
|---|---|
| 60.000 | 0.017453 |
| 61.000 | 0.017744 |
| 62.000 | 0.018035 |
| 63.000 | 0.018326 |
| 64.000 | 0.018617 |
| 65.000 | 0.018908 |
| 66.000 | 0.019199 |
| 67.000 | 0.019490 |
| 68.000 | 0.019780 |
| 69.000 | 0.020071 |
| 70.000 | 0.020362 |
| 71.000 | 0.020653 |
| 72.000 | 0.020944 |
| 73.000 | 0.021235 |
| 74.000 | 0.021526 |
| 75.000 | 0.021817 |
| 76.000 | 0.022108 |
| 77.000 | 0.022398 |
| 78.000 | 0.022689 |
| 79.000 | 0.022980 |
Arcminutes to Radians Conversion
Converting Arcminutes (′) to Radians (rad) is a common angle conversion. 1 ′ equals 0.000291 rad. For example, 100 ′ is equal to 0.029089 rad.
Quick Mental Math: Arcminutes to Radians
Use 10,800 arcminutes as pi radians, so 5,400 arcminutes is about 1.57 radians.
Why is converting Arcminutes to Radians tricky?
arcminutes 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 ′ = 0.000291 rad. 5 ′ = 0.001454 rad. 10 ′ = 0.002909 rad. 25 ′ = 0.007272 rad. 50 ′ = 0.014544 rad. 100 ′ = 0.029089 rad.
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].
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: arc minute, arc min, arcminuteses, arcminutess, radianes, radias, radans, radiens. All of these refer to the Arcminutes to Radians conversion.