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Convert Minutes of Arc to Radians

Please enter the angle in minutes of arc below to convert it into radians.

Enter Minutes of Arc:
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Result in Radians:
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Would you like to convert radians to minutes of arc?

How to Convert Minutes of Arc to Radians

To convert a measurement in minutes of arc to radians, simply multiply the angle by the conversion ratio.

The relationship between minutes of arc and radians is: one radian is equal to 10800/π minutes of arc. Therefore, we can use the following formula to convert between these units of measurement:

radians = minutes of arc × (π ÷ 10800)

For example, to convert 5000 minutes of arc to radians using this method, you would write:

radians = 5000 × (π ÷ 10800)
radians = 1.4544410433

Therefore, 5000 minutes of arc is equivalent to 1.4544410433 radians.

Minutes of Arc to Radians Conversion Table

Minutes of ArcRadians (multiple of π)Radians (decimal)
0 arcmin0 rad0 rad
900 arcminπ/12 rad0.26179939 rad
1800 arcminπ/6 rad0.52359878 rad
2700 arcminπ/4 rad0.78539816 rad
3600 arcminπ/3 rad1.04719755 rad
5400 arcminπ/2 rad1.57079633 rad
7200 arcmin2π/3 rad2.0943951 rad
9000 arcmin5π/6 rad2.61799388 rad
9900 arcmin11π/12 rad2.87979327 rad
10800 arcminπ rad3.14159265 rad
13500 arcmin5π/4 rad3.92699082 rad
16200 arcmin3π/2 rad4.71238898 rad
18900 arcmin7π/4 rad5.49778714 rad
21600 arcmin2π rad6.28318531 rad

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