Convert Minutes Of Arc to Radians
Enter the angle in minutes of arc below to get the value converted to radians.
How to Convert Minutes Of Arc to Radians
To convert a minute of arc measurement to a radian measurement, multiply the angle by the conversion ratio. One minute of arc is equal to 0.000291 radians, so use this simple formula to convert:
The angle in radians is equal to the minutes of arc multiplied by 0.000291.
Minutes of arc and radians are both units used to measure angle. Keep reading to learn more about each unit of measure.
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′.
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 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.
Minute Of Arc Measurements and Equivalent Radian Conversions
| Minutes Of Arc | Radians |
|---|---|
| 1' | 0.000291 rad |
| 2' | 0.000582 rad |
| 3' | 0.000873 rad |
| 4' | 0.001164 rad |
| 5' | 0.001454 rad |
| 6' | 0.001745 rad |
| 7' | 0.002036 rad |
| 8' | 0.002327 rad |
| 9' | 0.002618 rad |
| 10' | 0.002909 rad |
| 11' | 0.0032 rad |
| 12' | 0.003491 rad |
| 13' | 0.003782 rad |
| 14' | 0.004072 rad |
| 15' | 0.004363 rad |
| 16' | 0.004654 rad |
| 17' | 0.004945 rad |
| 18' | 0.005236 rad |
| 19' | 0.005527 rad |
| 20' | 0.005818 rad |
| 21' | 0.006109 rad |
| 22' | 0.0064 rad |
| 23' | 0.00669 rad |
| 24' | 0.006981 rad |
| 25' | 0.007272 rad |
| 26' | 0.007563 rad |
| 27' | 0.007854 rad |
| 28' | 0.008145 rad |
| 29' | 0.008436 rad |
| 30' | 0.008727 rad |
| 31' | 0.009018 rad |
| 32' | 0.009308 rad |
| 33' | 0.009599 rad |
| 34' | 0.00989 rad |
| 35' | 0.010181 rad |
| 36' | 0.010472 rad |
| 37' | 0.010763 rad |
| 38' | 0.011054 rad |
| 39' | 0.011345 rad |
| 40' | 0.011636 rad |
More Minute Of Arc Angle Conversions
- Convert to Milliradians
- 1' is equal to 0.290888 milliradians
- Convert to Degrees
- 1' is equal to 0.016667 degrees
- Convert to Seconds Of Arc
- 1' is equal to 60 seconds of arc
- Convert to Gradians
- 1' is equal to 0.018519 gradians
- Convert to Revolutions
- 1' is equal to 4.6296E-5 revolutions
- Convert to Circles
- 1' is equal to 4.6296E-5 circles
- Convert to Mils (NATO)
- 1' is equal to 0.296296 mils (NATO)
Unit of Measurement Conversion Made Easy!
There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!
Understanding the Metric System
The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.
Here is a list of some of the common metric prefixes:
- “kilo” – 1,000x larger
- “hecto” – 100x larger
- “deca” – 10x larger
- “deci” – 10x smaller
- “centi” – 100x smaller
- “milli” – 1,000x smaller
There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.
