Convert Radians to Minutes Of Arc

Enter the angle in radians below to get the value converted to minutes of arc.

SWAP UNITS
Results in Minutes Of Arc:
Loading content.
1 rad = 3,437.746771 arcmin

How to Convert Radians to Minutes Of Arc

Protractors are often used to measure angle

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:

minutes of arc = radians × 3,437.746771

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

For example, here's how to convert 5 radians to minutes of arc using the formula above.
5 rad = (5 × 3,437.746771) = 17,188.733854'

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 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 Measurements and Equivalent Minute Of Arc Conversions

Common radian values converted to the equivalent minute of arc value
Radians Minutes Of Arc
1 rad 3,438'
2 rad 6,875'
3 rad 10,313'
4 rad 13,751'
5 rad 17,189'
6 rad 20,626'
7 rad 24,064'
8 rad 27,502'
9 rad 30,940'
10 rad 34,377'
11 rad 37,815'
12 rad 41,253'
13 rad 44,691'
14 rad 48,128'
15 rad 51,566'
16 rad 55,004'
17 rad 58,442'
18 rad 61,879'
19 rad 65,317'
20 rad 68,755'
21 rad 72,193'
22 rad 75,630'
23 rad 79,068'
24 rad 82,506'
25 rad 85,944'
26 rad 89,381'
27 rad 92,819'
28 rad 96,257'
29 rad 99,695'
30 rad 103,132'
31 rad 106,570'
32 rad 110,008'
33 rad 113,446'
34 rad 116,883'
35 rad 120,321'
36 rad 123,759'
37 rad 127,197'
38 rad 130,634'
39 rad 134,072'
40 rad 137,510'

More Radian Angle Conversions

Convert to Milliradians
1 rad is equal to 1,000 milliradians
Convert to Degrees
1 rad is equal to 57.29578 degrees
Convert to Seconds Of Arc
1 rad is equal to 206,264.8 seconds of arc
Convert to Gradians
1 rad is equal to 63.661977 gradians
Convert to Revolutions
1 rad is equal to 0.159155 revolutions
Convert to Circles
1 rad is equal to 0.159155 circles
Convert to Mils (NATO)
1 rad is equal to 1,018.59 mils (NATO)