How to convert radians to arcminutes
′ = rad × 3,437.746771Multiply the value in radians by 3,437.746771. To go the other way, multiply by 0.0002908882087 (or divide by 3,437.746771).
A radian is larger than an arcminute: one radian contains 3,437.746771 arcminutes.
Worked examples
- 1 radian1 rad × 3,437.746771 = 3,437.746771 ′
- 5 radians5 rad × 3,437.746771 = 17,188.73385 ′
- 10 radians10 rad × 3,437.746771 = 34,377.46771 ′
- 20 radians20 rad × 3,437.746771 = 68,754.93542 ′
- 100 radians100 rad × 3,437.746771 = 343,774.6771 ′
Radians to arcminutes conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Radians (rad) | Arcminutes (′) |
|---|---|
| 0.1 rad | 343.77468 ′ |
| 0.25 rad | 859.43669 ′ |
| 0.5 rad | 1,718.8734 ′ |
| 1 rad | 3,437.7468 ′ |
| 2 rad | 6,875.4935 ′ |
| 3 rad | 10,313.24 ′ |
| 4 rad | 13,750.987 ′ |
| 5 rad | 17,188.734 ′ |
| 6 rad | 20,626.481 ′ |
| 7 rad | 24,064.227 ′ |
| 8 rad | 27,501.974 ′ |
| 9 rad | 30,939.721 ′ |
| 10 rad | 34,377.468 ′ |
| Radians (rad) | Arcminutes (′) |
|---|---|
| 12 rad | 41,252.961 ′ |
| 15 rad | 51,566.202 ′ |
| 20 rad | 68,754.935 ′ |
| 25 rad | 85,943.669 ′ |
| 30 rad | 103,132.4 ′ |
| 40 rad | 137,509.87 ′ |
| 50 rad | 171,887.34 ′ |
| 75 rad | 257,831.01 ′ |
| 100 rad | 343,774.68 ′ |
| 250 rad | 859,436.69 ′ |
| 500 rad | 1,718,873.4 ′ |
| 1,000 rad | 3,437,746.8 ′ |
About the units
Radian (rad)
The angle subtended by an arc equal in length to the radius; 2π rad make a full turn, so 1 rad ≈ 57.2958°.
Arcminute (′)
One sixtieth of a degree. Rifle-scope adjustments are often given in MOA (minutes of angle). One arcminute equals 0.0002908882087 radians (rad).
Frequently asked questions
How many arcminutes are in one radian?
There are 3,437.746771 arcminutes in one radian, and this value is exact by definition.
How do I convert radians to arcminutes?
Multiply the number of radians by 3,437.746771. For example, 10 rad × 3,437.746771 = 34,377.46771 ′.
How many radians are in one arcminute?
One arcminute equals 0.0002908882087 radians. That is the reverse factor, 1 ÷ 3,437.746771.
What is 10 radians in arcminutes?
10 rad = 34,377.46771 ′.
Is this rad to ′ converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.