Time & Angles

Arcminutes to Radians

Convert arcminutes to radians instantly. 1 ′ = 0.0002908882 rad. Includes the exact factor, a conversion table of common values and the definition of both units.

Radians
One step, one exact factorArcminuteswhat you have× 0.0002908882Radianswhat you getBoth units are defined against the same base unit, so the factor is exact — never an approximation.

How to convert arcminutes to radians

To convert arcminutes to radians, divide by 3437.7467707849 (multiply by 0.0002908882). 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 = ′ × 0.0002908882

Arcminutes to Radians conversion table

The values people look up most often, rounded for reading. Use the calculator above for anything in between.

ArcminutesRadians
1 ′0.0002909 rad
2 ′0.0005818 rad
3 ′0.0008727 rad
5 ′0.001454 rad
10 ′0.002909 rad
20 ′0.005818 rad
25 ′0.007272 rad
50 ′0.014544 rad
100 ′0.029089 rad
500 ′0.145444 rad
1,000 ′0.290888 rad

What is a arcminute?

A 60th of a degree. One arcminute of latitude is a nautical mile.

What is a radian?

The SI angle unit: the angle subtending an arc equal to the radius.

The formula

rad = ′ × 0.0002908882

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 Arcminutes to Radians

  1. Type the number of arcminutes you want to convert.
  2. Read the result in radians straight away — there is no button to press.
  3. Check the table below for the values that come up most often, or reverse the conversion with the linked radians to arcminutes page.

Arcminutes to Radians — frequently asked questions

How many radians are in a arcminute?

One arcminute equals 0.0002908882 rad. rad = ′ × 0.0002908882

What is the formula to convert arcminutes to radians?

The formula is rad = ′ × 0.0002908882. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.

How do I convert radians back to arcminutes?

Divide instead of multiplying: one radian is 3437.7467707849 ′. 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 arcminutes to radians 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 arcminutes to radians.

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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