# Radians to Minutes of Arc Converter

Enter the angle in radians below to get the value converted to minutes of arc. The calculator supports values containing decimals, fractions, and π: (π/2, 1/2π, etc)

## Result in Minutes of Arc:

Do you want to convert minutes of arc to radians?

## How to Convert Radians to Minutes of Arc

To convert a measurement in radians to a measurement in minutes of arc, multiply the angle by the following conversion ratio: 3,437.746771 minutes of arc/radian.

Since one radian is equal to 3,437.746771 minutes of arc, you can use this simple formula to convert:

minutes of arc = radians × 3,437.746771

The angle in minutes of arc is equal to the angle in radians multiplied by 3,437.746771.

**For example,**here's how to convert 5 radians to minutes of arc using the formula above.

### How Many Minutes of Arc Are in a Radian?

There are **3,437.746771** minutes of arc in a radian, which is why we use this value in the formula above.

1 rad = 3,437.746771'

Radians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

## What Is a Radian?

A radian is the measurement of angle equal to the length of an arc divided by the radius of the circle or arc.^{[1]} 1 radian is equal to 180/π degrees, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as *rad*, and are also sometimes abbreviated as * ^{c}*,

*r*, or

*. For example, 1 radian can be written as 1 rad, 1*

^{R}^{c}, 1 r, or 1

^{R}.

Radians are often expressed using their definition.
The formula to find an angle in radians is θ = s/r, where the angle in radians *θ* is equal to the arc length *s* divided by the radius *r*.
Thus, radians may also be expressed as the formula of arc length over the radius.

Radians are also considered to be a "unitless" unit. That is, when multiplying or dividing by radians, the result does not include radians as part of the final units.

For example, when determining the length of an arc for a given angle, we use the formula above, rearranged to be s = θr. If θ is in radians and r is in meters, then the units of s will be meters, not radian-meters. If θ were in degrees, however, then s would have units of degree-meters.

Learn more about radians.

## What Is a Minute of Arc?

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as *arcmin*, and are also sometimes abbreviated as *MOA* or *amin*. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Learn more about minutes of arc.

## Radian to Minute of Arc Conversion Table

Radians | Minutes Of Arc |
---|---|

0.001 rad | 3.4377' |

0.002 rad | 6.8755' |

0.003 rad | 10.31' |

0.004 rad | 13.75' |

0.005 rad | 17.19' |

0.006 rad | 20.63' |

0.007 rad | 24.06' |

0.008 rad | 27.5' |

0.009 rad | 30.94' |

0.01 rad | 34.38' |

0.02 rad | 68.75' |

0.03 rad | 103.13' |

0.04 rad | 137.51' |

0.05 rad | 171.89' |

0.06 rad | 206.26' |

0.07 rad | 240.64' |

0.08 rad | 275.02' |

0.09 rad | 309.4' |

0.1 rad | 343.77' |

0.2 rad | 687.55' |

0.3 rad | 1,031' |

0.4 rad | 1,375' |

0.5 rad | 1,719' |

0.6 rad | 2,063' |

0.7 rad | 2,406' |

0.8 rad | 2,750' |

0.9 rad | 3,094' |

1 rad | 3,438' |

## References

- International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf

## More Radian & Minute of Arc Conversions

- radians to milliradians
- radians to degrees
- radians to seconds of arc
- radians to gradians
- radians to revolutions
- radians to circles
- radians to mils
- milliradians to minutes of arc
- degrees to minutes of arc
- seconds of arc to minutes of arc
- gradians to minutes of arc
- revolutions to minutes of arc
- circles to minutes of arc
- mils to minutes of arc