Arc Minutes to Milliradians

Convert arc minutes (′) to milliradians (mrad) with formulas, examples, and conversion tables.

′
mrad
1 ′ = 0.29089 mrad
Full precision:0.29089 mrad
Step-by-Step Solution

To convert 1 arc minutes to milliradians, we divide by 3.4377 because one milliradian equals exactly 3.4377 arc minutes.

1 milliradian = 3.4377 arc minutes

Since there are 3.4377 arc minutes in every milliradian, we divide our value by this factor:

1 ÷ 3.4377 = 0.29089 milliradians

So 1 arc minutes = 0.29089 milliradians.

✓Quick check: 0.29089 × 3.4377 = 1 arc minutes
↔ Milliradians to Arc Minutes

How to Convert Arc Minutes to Milliradians

To convert arc minutes to milliradians, divide the value by 3.4377.

The Formula

Milliradians = Arc Minutes ÷ 3.4377

Key Fact

1 milliradian = 3.4377 arc minutes

Tip: To convert milliradians back to arc minutes, multiply by 3.4377.

Example Conversions

Example 1: 1 ′ = 0.29089 mrad
1 ÷ 3.4377 = 0.29089
Example 2: 5 ′ = 1.4544 mrad
5 ÷ 3.4377 = 1.4544
Example 3: 10 ′ = 2.9089 mrad
10 ÷ 3.4377 = 2.9089

Arc Minutes to Milliradians Table

Arc MinutesMilliradians
1 ′0.29089 mrad
2 ′0.58178 mrad
5 ′1.4544 mrad
10 ′2.9089 mrad
20 ′5.8178 mrad
25 ′7.2722 mrad
50 ′14.5444 mrad
100 ′29.0889 mrad
250 ′72.7222 mrad
500 ′145.444 mrad
1000 ′290.889 mrad

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