Radians to Arcminutes (rad to ') Converter
1 radian (rad) = 3,437.75 arcminutes ('). To convert radians to arcminutes, multiply by 3,437.75: 25 rad × 3,437.75 = 85,943.7 '.
Quick facts
- 1 rad = 3,437.75 '
- 1 ' = 0.000290888 rad
- Formula: ' = rad × 3,437.75
- Quick estimate: multiply by about 3438
How to convert radians to arcminutes
- Take the value in radians.
- Multiply it by 3,437.75 (the number of arcminutes in one radian).
- Round the result to the precision you need.
Worked example: 25 rad × 3,437.75 = 85943.7 '.
To convert arcminutes back to radians, multiply by 0.000290888, or divide by 3,437.75.
Source: BIPM SI Brochure, 9th edition (the radian).
Radians to Arcminutes conversion table
| Radians [rad] | Arcminutes ['] |
|---|---|
| 0.001 rad | 3.4377467708 ' |
| 0.01 rad | 34.3774677078 ' |
| 0.1 rad | 343.7746770785 ' |
| 0.5 rad | 1718.8733853925 ' |
| 1 rad | 3437.7467707849 ' |
| 2 rad | 6875.4935415699 ' |
| 5 rad | 17188.7338539247 ' |
| 10 rad | 34377.4677078494 ' |
rad to ' chart from 1 to 100
- 1 rad 3437.75 '
- 2 rad 6875.49 '
- 3 rad 10313.2 '
- 4 rad 13751 '
- 5 rad 17188.7 '
- 6 rad 20626.5 '
- 7 rad 24064.2 '
- 8 rad 27502 '
- 9 rad 30939.7 '
- 10 rad 34377.5 '
- 11 rad 37815.2 '
- 12 rad 41253 '
- 13 rad 44690.7 '
- 14 rad 48128.5 '
- 15 rad 51566.2 '
- 16 rad 55003.9 '
- 17 rad 58441.7 '
- 18 rad 61879.4 '
- 19 rad 65317.2 '
- 20 rad 68754.9 '
- 25 rad 85943.7 '
- 30 rad 103132 '
- 35 rad 120321 '
- 40 rad 137510 '
- 45 rad 154699 '
- 50 rad 171887 '
- 55 rad 189076 '
- 60 rad 206265 '
- 65 rad 223454 '
- 70 rad 240642 '
- 75 rad 257831 '
- 80 rad 275020 '
- 85 rad 292208 '
- 90 rad 309397 '
- 95 rad 326586 '
- 100 rad 343775 '
Arcminutes to Radians conversion table
| Arcminutes ['] | Radians [rad] |
|---|---|
| 1 ' | 0.0002908882 rad |
| 10 ' | 0.0029088821 rad |
| 100 ' | 0.0290888209 rad |
| 1000 ' | 0.2908882087 rad |
| 10000 ' | 2.9088820867 rad |
| 100000 ' | 29.0888208666 rad |
| 1000000 ' | 290.8882086657 rad |
Radians vs Arcminutes
| Radian | Arcminute | |
|---|---|---|
| Symbol | rad | ' |
| Equals | 1 rad = 3,437.75 ' | 1 ' = 0.000290888 rad |
What is a radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
What is an arcminute?
One 60th of a degree. Used in astronomy and navigation for small angles.
Frequently asked questions
How many arcminutes are in a radian?
There are 3,437.75 arcminutes in 1 radian (1 rad = 3437.7467707849 ').
How many radians are in an arcminute?
There are 0.000290888 radians in 1 arcminute (1 ' = 0.0002908882 rad).
How do I convert radians to arcminutes?
Multiply the number of radians by 3,437.75. For example, 10 rad × 3,437.75 = 34,377.5 '. To convert back, multiply by 0.000290888.
What is 10 rad in arcminutes?
10 rad = 34,377.5 '.
What is 100 rad in arcminutes?
100 rad = 343,775 '.
Is the conversion exact?
Yes. The factor comes from the official definitions of both units (BIPM SI Brochure, 9th edition (the radian)). Results are shown to up to 10 decimal places; round them to suit your purpose.
Related conversions
Popular angle conversions
- Degrees to Radians
- Radians to Degrees
- Degrees to Gradians
- Arcminutes to Degrees
- Arcseconds to Degrees
- Degrees to Arcminutes
Convert radians to other units
Convert other units to arcminutes
Open the full angle converter with every unit →