Convert Radians to Minutes Of Arc

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

Results in Minutes Of Arc:

1 rad = 3,437.746771 arcmin

Do you want to convert minutes of arc to radians?

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'