Radians to Arcminutes
Convert radians to arcminutes instantly. 1 rad = 3437.7467707849 ′. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert radians to arcminutes
To convert radians to arcminutes, multiply by 3437.7467707849. The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
′ = rad × 3437.7467707849
Radians to Arcminutes conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Radians | Arcminutes |
|---|---|
| 1 rad | 3,437.75 ′ |
| 2 rad | 6,875.49 ′ |
| 3 rad | 10,313.24 ′ |
| 5 rad | 17,188.73 ′ |
| 10 rad | 34,377.47 ′ |
| 20 rad | 68,754.94 ′ |
| 25 rad | 85,943.67 ′ |
| 50 rad | 171,887.34 ′ |
| 100 rad | 343,774.68 ′ |
| 500 rad | 1,718,873.39 ′ |
| 1,000 rad | 3,437,746.77 ′ |
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
What is a arcminute?
A 60th of a degree. One arcminute of latitude is a nautical mile.
The formula
′ = rad × 3437.7467707849
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Radians to Arcminutes
- Type the number of radians you want to convert.
- Read the result in arcminutes straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked arcminutes to radians page.
Radians to Arcminutes — frequently asked questions
How many arcminutes are in a radian?
One radian equals 3437.7467707849 ′. ′ = rad × 3437.7467707849
What is the formula to convert radians to arcminutes?
The formula is ′ = rad × 3437.7467707849. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert arcminutes back to radians?
Divide instead of multiplying: one arcminute is 0.0002908882 rad. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this radians to arcminutes free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the radians to arcminutes.
- radians to arcminutes
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error