Arcminutes to Radians (' to rad) Converter
1 arcminute (') = 0.000290888 radians (rad). To convert arcminutes to radians, multiply by 0.000290888: 25 ' × 0.000290888 = 0.00727221 rad.
Quick facts
- 1 ' = 0.000290888 rad
- 1 rad = 3,437.75 '
- Formula: rad = ' × 0.000290888
- Quick estimate: multiply by about 0.00029
How to convert arcminutes to radians
- Take the value in arcminutes.
- Multiply it by 0.000290888 (the number of radians in one arcminute).
- Round the result to the precision you need.
Worked example: 25 ' × 0.000290888 = 0.00727221 rad.
To convert radians back to arcminutes, multiply by 3,437.75, or divide by 0.000290888.
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 |
' to rad chart from 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
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 ' |
Arcminutes vs Radians
| Arcminute | Radian | |
|---|---|---|
| Symbol | ' | rad |
| Equals | 1 ' = 0.000290888 rad | 1 rad = 3,437.75 ' |
What is an arcminute?
One 60th of a degree. Used in astronomy and navigation for small angles.
What is a radian?
The SI unit of angle, where one full rotation equals 2π radians. Used throughout calculus, physics, and engineering.
Frequently asked questions
How many radians are in an arcminute?
There are 0.000290888 radians in 1 arcminute (1 ' = 0.0002908882 rad).
How many arcminutes are in a radian?
There are 3,437.75 arcminutes in 1 radian (1 rad = 3437.7467707849 ').
How do I convert arcminutes to radians?
Multiply the number of arcminutes by 0.000290888. For example, 10 ' × 0.000290888 = 0.00290888 rad. To convert back, multiply by 3,437.75.
What is 10 ' in radians?
10 ' = 0.00290888 rad.
What is 100 ' in radians?
100 ' = 0.0290888 rad.
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.
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