Convert Arcminutes to Radians
Enter a value in arcminutes to see it in radians. The answer, a worked example and conversion charts are below.
What is an arcminute?
Definition: One 60th of a degree.
Current use: Used in astronomy and navigation for small angles.
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.
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 |
Arcminutes to Radians Chart (1 to 100)
- 1 ' 0.000290888 rad
- 2 ' 0.000581776 rad
- 3 ' 0.000872665 rad
- 4 ' 0.00116355 rad
- 5 ' 0.00145444 rad
- 6 ' 0.00174533 rad
- 7 ' 0.00203622 rad
- 8 ' 0.00232711 rad
- 9 ' 0.00261799 rad
- 10 ' 0.00290888 rad
- 11 ' 0.00319977 rad
- 12 ' 0.00349066 rad
- 13 ' 0.00378155 rad
- 14 ' 0.00407243 rad
- 15 ' 0.00436332 rad
- 16 ' 0.00465421 rad
- 17 ' 0.0049451 rad
- 18 ' 0.00523599 rad
- 19 ' 0.00552688 rad
- 20 ' 0.00581776 rad
- 25 ' 0.00727221 rad
- 30 ' 0.00872665 rad
- 35 ' 0.0101811 rad
- 40 ' 0.0116355 rad
- 45 ' 0.01309 rad
- 50 ' 0.0145444 rad
- 55 ' 0.0159989 rad
- 60 ' 0.0174533 rad
- 65 ' 0.0189077 rad
- 70 ' 0.0203622 rad
- 75 ' 0.0218166 rad
- 80 ' 0.0232711 rad
- 85 ' 0.0247255 rad
- 90 ' 0.0261799 rad
- 95 ' 0.0276344 rad
- 100 ' 0.0290888 rad
How to Convert Arcminutes to Radians
1 rad = 3437.7467707849 '
Worked example: 25 ' × 0.0002908882 = 0.00727221 rad.
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 ' |
Quick Estimate
For a quick mental estimate, 1 ' is about 0.00029 rad, and 1 rad is about 3438 '. 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 radians are in an arcminute?
1 arcminute (') equals 0.0002908882 radians (rad).
How many arcminutes are in a radian?
1 radian (rad) equals 3437.7467707849 arcminutes (').
How do I convert arcminutes to radians?
Multiply the value in ' by 0.0002908882 to get rad. To go the other way, multiply rad by 3437.7467707849.
What is 10 ' in radians?
10 ' = 0.0029088821 rad.
What is 100 ' in radians?
100 ' = 0.0290888209 rad.
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