Radians to Minutes Of Arc Conversion
Enter the angle in radians below to get the value converted to minutes of arc.
How to Convert Radians to Minutes Of Arc
To convert a radian measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One radian is equal to 3,437.746771 minutes of arc, so use this simple formula to convert:
The angle in minutes of arc is equal to the radians multiplied by 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.
Radians
A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc.[1] 1 radian is equal to 180/π, 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 R. For example, 1 radian can be written as 1 rad, 1 c, 1 r, or 1 R.
Radians are often expressed using their definition. The formula to find 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.
Minutes 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′.
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/utils/common/pdf/si-brochure/SI-Brochure-9.pdf
