Arc Minutes to Radians

Convert arc minutes (′) to radians (rad) with formulas, examples, and conversion tables.

′
rad
1 ′ = 0.000291 rad
Full precision:0.00029089 rad
Step-by-Step Solution

To convert 1 arc minutes to radians, we divide by 3437.74 because one radian equals exactly 3437.74 arc minutes.

1 radian = 3437.74 arc minutes

Since there are 3437.74 arc minutes in every radian, we divide our value by this factor:

1 ÷ 3437.74 = 0.000291 radians

So 1 arc minutes = 0.000291 radians.

✓Quick check: 0.000291 × 3437.74 = 1 arc minutes
↔ Radians to Arc Minutes

How to Convert Arc Minutes to Radians

To convert arc minutes to radians, divide the value by 3437.74.

The Formula

Radians = Arc Minutes ÷ 3437.74

Key Fact

1 radian = 3437.74 arc minutes

Tip: To convert radians back to arc minutes, multiply by 3437.74.

Example Conversions

Example 1: 1 ′ = 0.000291 rad
1 ÷ 3437.74 = 0.000291
Example 2: 5 ′ = 0.001454 rad
5 ÷ 3437.74 = 0.001454
Example 3: 10 ′ = 0.002909 rad
10 ÷ 3437.74 = 0.002909

Arc Minutes to Radians Table

Arc MinutesRadians
1 ′0.000291 rad
2 ′0.000582 rad
5 ′0.001454 rad
10 ′0.002909 rad
20 ′0.005818 rad
25 ′0.007272 rad
50 ′0.014544 rad
100 ′0.029089 rad
250 ′0.072722 rad
500 ′0.14544 rad
1000 ′0.29089 rad

1 Arc Minute in Other Units

Unit1 ′ =
Arc Minutes to Degrees0.016667 °
Arc Minutes to Radians0.00029089 rad
Arc Minutes to Gradians0.018519 grad
Arc Minutes to Turns0.0000463 turn
Arc Minutes to Arc Seconds60.0001 ″
Arc Minutes to Milliradians0.29089 mrad
Arc Minutes to Revolutions0.0000463 rev
Arc Minutes to Quadrants0.00018519 quad
Arc Minutes to Sextants0.00027778 sext

Related Conversions

Degrees to RadiansRadians to DegreesDegrees to GradiansGradians to DegreesRadians to GradiansGradians to RadiansDegrees to TurnsTurns to DegreesDegrees to Arc MinutesArc Minutes to Degrees