Convert Radians to Arcminutes
Enter a value in radians to see it in arcminutes. The answer, a worked example and conversion charts are below.
What is a radian?
Definition: The SI unit of angle, where one full rotation equals 2π radians.
Current use: Used throughout calculus, physics, and engineering.
What is an arcminute?
Definition: One 60th of a degree.
Current use: Used in astronomy and navigation for small angles.
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 ' |
Radians to Arcminutes Chart (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 '
How to Convert Radians to Arcminutes
1 ' = 0.0002908882 rad
Worked example: 25 rad × 3437.7467707849 = 85943.7 '.
Source: BIPM SI Brochure, 9th edition (the radian).
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 |
Quick Estimate
For a quick mental estimate, 1 rad is about 3438 ', and 1 ' is about 0.00029 rad. Use the exact calculator above when accuracy matters, such as for money, medicine, engineering or anything you will buy or sell.
Frequently Asked Questions
How many arcminutes are in a radian?
1 radian (rad) equals 3437.7467707849 arcminutes (').
How many radians are in an arcminute?
1 arcminute (') equals 0.0002908882 radians (rad).
How do I convert radians to arcminutes?
Multiply the value in rad by 3437.7467707849 to get '. To go the other way, multiply ' by 0.0002908882.
What is 10 rad in arcminutes?
10 rad = 34377.4677078494 '.
What is 100 rad in arcminutes?
100 rad = 343774.6770784939 '.
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