📏 Radians to Arcminutes Converter
Convert radians (rad) to arcminutes (′) instantly, with the formula, a worked example and a conversion table.
Quick answer: 1 radian (rad) = 3,437.7468 arcminutes (′). Formula: ′ = rad × 3,437.7468.
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Radians to Arcminutes Converter inputs
Result
Radians to Arcminutes conversion table
| Radians (rad) | Arcminutes (′) |
|---|---|
| 0.1 rad | 343.77468 ′ |
| 0.5 rad | 1,718.8734 ′ |
| 1 rad | 3,437.7468 ′ |
| 2 rad | 6,875.4935 ′ |
| 3 rad | 10,313.24 ′ |
| 5 rad | 17,188.734 ′ |
| 10 rad | 34,377.468 ′ |
| 20 rad | 68,754.935 ′ |
| 25 rad | 85,943.669 ′ |
| 50 rad | 171,887.34 ′ |
| 100 rad | 343,774.68 ′ |
| 1,000 rad | 3,437,746.8 ′ |
Other angle conversions
How to convert radians to arcminutes
Multiply the number of radians by 3,437.7468 to get arcminutes: ′ = rad × 3,437.7468.
Example: 5 rad = 17,188.734 ′.
The radian (rad) and the arcminute (′) are both units of angle. Need the opposite direction? Use the ′ to rad converter.
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Metric and imperial units
The metric system (SI) is used by almost every country and by science worldwide. Its units scale by powers of ten – 1 kilometer is 1,000 meters, 1 meter is 100 centimeters – which makes conversions inside the system easy. The imperial and US customary systems (inches, feet, pounds, gallons) are still used daily in the United States and partly in the UK.
Since 1959 the inch has been defined as exactly 2.54 centimeters and the pound as exactly 0.45359237 kilograms, so conversions between the two systems are exact. Note that a US gallon (3.785 L) and an imperial gallon (4.546 L) are different – choose the right one above.
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Frequently asked questions
How many arcminutes are in a radian?
1 radian = 3,437.7468 arcminutes.
How do I convert radians to arcminutes?
Use the formula ′ = rad × 3,437.7468. For example, 5 rad = 17,188.734 ′.
How do I convert arcminutes back to radians?
1 arcminute = 0.0002908882 radians. Use the ′ to rad converter linked on this page.
Are these conversions exact?
Yes – all factors use the internationally defined values (for example 1 inch = 2.54 cm exactly, 1 pound = 0.45359237 kg exactly). Results are rounded to 8 significant digits for display.