Convert Arcminutes to Radians
1 arcminute = 0.0002908882 radians. Type any value below to convert in either direction — the calculation happens in your browser.
Arcminutes to Radians formula
Multiply the number of arcminutes by 0.0002908882 to get radians.
radians = arcminutes × 0.0002908882
To go the other way: divide the number of radians by 0.0002908882, or multiply by 3437.747.
arcminutes = radians ÷ 0.0002908882
Arcminutes to Radians conversion table
| Arcminutes | Radians |
|---|---|
| 1 ′ | 0.0002908882 rad |
| 2 ′ | 0.0005817764 rad |
| 3 ′ | 0.0008726646 rad |
| 4 ′ | 0.001163553 rad |
| 5 ′ | 0.001454441 rad |
| 6 ′ | 0.001745329 rad |
| 7 ′ | 0.002036217 rad |
| 8 ′ | 0.002327106 rad |
| 9 ′ | 0.002617994 rad |
| 10 ′ | 0.002908882 rad |
| 15 ′ | 0.004363323 rad |
| 20 ′ | 0.005817764 rad |
| 25 ′ | 0.007272205 rad |
| 30 ′ | 0.008726646 rad |
| 40 ′ | 0.01163553 rad |
| 50 ′ | 0.01454441 rad |
| 75 ′ | 0.02181662 rad |
| 100 ′ | 0.02908882 rad |
| 250 ′ | 0.07272205 rad |
| 500 ′ | 0.1454441 rad |
| 1,000 ′ | 0.2908882 rad |
Radians to Arcminutes conversion table
| Radians | Arcminutes |
|---|---|
| 1 rad | 3,437.747 ′ |
| 2 rad | 6,875.494 ′ |
| 3 rad | 10,313.24 ′ |
| 4 rad | 13,750.99 ′ |
| 5 rad | 17,188.73 ′ |
| 6 rad | 20,626.48 ′ |
| 7 rad | 24,064.23 ′ |
| 8 rad | 27,501.97 ′ |
| 9 rad | 30,939.72 ′ |
| 10 rad | 34,377.47 ′ |
About the arcminute
An arcminute is one sixtieth of a degree, used in astronomy and navigation.
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
Frequently asked questions
How many radians are in a arcminute?
There are 0.0002908882 radians in one arcminute.
How many arcminutes are in a radian?
There are 3,437.747 arcminutes in one radian.
Is this conversion exact?
The ratio between the arcminute and the radian is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 arcminutes in radians?
10 arcminutes equals 0.002908882 radians.