Arcminutes to Radians

Convert arcminutes (′) to radians (rad). Type in either box; the other updates as you go.

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1 ′ = 0.00029088821 rad

1 arcminute equals0.0002908882087 rad
1 radian equals3,437.746771 ′
Formularad = ′ × 0.0002908882087

How to convert arcminutes to radians

To convert arcminutes to radians, multiply the number of arcminutes by 0.0002908882087.

rad = ′ × 0.0002908882087

Example

Convert 50 arcminutes to radians:

50 ′ × 0.0002908882087 = 0.0145444 rad

Arcminute to radian conversion chart

Arcminutes to radians
Arcminutes (′)Radians (rad)
10 ′0.002908882 rad
20 ′0.005817764 rad
30 ′0.008726646 rad
40 ′0.01163553 rad
50 ′0.01454441 rad
60 ′0.01745329 rad
70 ′0.02036217 rad
80 ′0.02327106 rad
90 ′0.02617994 rad
100 ′0.02908882 rad
120 ′0.03490659 rad
150 ′0.04363323 rad
200 ′0.05817764 rad
250 ′0.07272205 rad
300 ′0.08726646 rad
400 ′0.1163553 rad
500 ′0.1454441 rad
600 ′0.1745329 rad
700 ′0.2036217 rad
750 ′0.2181662 rad
800 ′0.2327106 rad
900 ′0.2617994 rad
1,000 ′0.2908882 rad
1,500 ′0.4363323 rad
2,000 ′0.5817764 rad
2,500 ′0.7272205 rad
5,000 ′1.454441 rad
10,000 ′2.908882 rad

Going the other way? See the radians to arcminutes chart.

About the units

Arcminute (′)

An arcminute is 1/60 of a degree. Rifle scopes and astronomy measure small angles in arcminutes.

Radian (rad)

A radian is the angle that cuts off an arc as long as the radius. A full turn is 2π radians, so one radian is about 57.3°.

Frequently asked questions

How many radians are in an arcminute?

There are 0.0002908882087 radians in an arcminute.

How many arcminutes are in a radian?

There are 3,437.746771 arcminutes in a radian.

How do you convert arcminutes to radians?

To convert arcminutes to radians, multiply the number of arcminutes by 0.0002908882087.

What is 50 arcminutes in radians?

50 arcminutes equals 0.0145444 radians.

Convert between degrees, radians, gradians, arcminutes and arcseconds. Open the angle converter to see a value in every unit at once.