📏 Arcminutes to Radians Converter
Convert arcminutes (′) to radians (rad) instantly, with the formula, a worked example and a conversion table.
Quick answer: 1 arcminute (′) = 0.0002908882 radians (rad). Formula: rad = ′ × 0.0002908882.
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Arcminutes to Radians Converter inputs
Result
Arcminutes to Radians conversion table
| Arcminutes (′) | Radians (rad) |
|---|---|
| 0.1 ′ | 0.0000290888 rad |
| 0.5 ′ | 0.0001454441 rad |
| 1 ′ | 0.0002908882 rad |
| 2 ′ | 0.0005817764 rad |
| 3 ′ | 0.0008726646 rad |
| 5 ′ | 0.001454441 rad |
| 10 ′ | 0.0029088821 rad |
| 20 ′ | 0.0058177642 rad |
| 25 ′ | 0.0072722052 rad |
| 50 ′ | 0.01454441 rad |
| 100 ′ | 0.029088821 rad |
| 1,000 ′ | 0.29088821 rad |
Other angle conversions
How to convert arcminutes to radians
Multiply the number of arcminutes by 0.0002908882 to get radians: rad = ′ × 0.0002908882.
Example: 5 ′ = 0.001454441 rad.
The arcminute (′) and the radian (rad) are both units of angle. Need the opposite direction? Use the rad to ′ 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 radians are in a arcminute?
1 arcminute = 0.0002908882 radians.
How do I convert arcminutes to radians?
Use the formula rad = ′ × 0.0002908882. For example, 5 ′ = 0.001454441 rad.
How do I convert radians back to arcminutes?
1 radian = 3,437.7468 arcminutes. Use the rad to ′ 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.