Use the below online Minutes of arc to Radian converter to convert an angle minutes of arc to radian:

Radian

Radian is a unit of measurement of an angle. Radian of one circle is the length of circumference divided by the radius or 2πr/r or 2π. Therefore a full circle has 2π radians which is equal to 360 degrees. Thus one radian is equal to 180/π degrees.

Minutes of arc

A Minute of arc or arcminute is a unit of measurement of an angle which is equal to 1/60 of a degree or π/10800 of a radian. The standard symbol for the arcminute is the prime(‘) or single quote. Thus One arcminute is written as 1’. It is also abbreviated asarcmin or amin.

How to convert minutes of arc to radian

A Minute of arc = 1/60 degree
Then, 1° = 60 arcmin
A full circle (360°) = 2π radians
Then, 1° = 2π/360 radians
Therefore, 60 arcmin = 2π/360 radians
Then, 1 arcmin = (2π/360)/60 = 0.00029 radians
Thus 1 arcmin = 0.00029 rad

Example 1:

Convert 15 minutes of arc to radian
1 arcmin = 0.00029 rad
Therefore, 15 arcmin = 15 * 0.00029 = 0.00435 rad

Example 2:

Convert 50 minutes of arc to radian
1 arcmin = 0.00029 rad
Therefore, 50 arcmin = 50 * 0.00029 = 0.0145 rad

Minutes of arc to Radian conversion table

Minutes of arc(arcmin)Radian(rad)
00
10.00029
20.00058
30.00087
40.00116
50.00145
60.00174
70.00203
80.00232
90.00261
100.0029
110.00319
120.00348
130.00377
140.00406
150.00435
200.0058
500.0145
1000.029

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