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Milliradians to Minutes of Arc Converter

Convert milliradians (mrad) to minutes of arc (′), with the formula, a conversion table and exact factors.

Change the values and press Calculate to work out your own figures.

Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.

About valueA number, fraction (3/8), mixed number (1 1/2), scientific notation (2.5e6) or a simple sum such as 2*3.
About toThe unit you want the answer in. Swap exchanges the two units.
Result
Result
3.43774677078 ′
radians
0.001 rad
degrees
0.0572957795131 °
seconds of arc
206.264806247 ″
gradians (gons)
0.0636619772368 gon
revolutions (turns)
0.000159154943092 rev
mils (NATO, 6,400 per turn)
1.01859163579 mil

1 mrad = 3.43774677078 ′

Show the working
  1. 1 mrad = 3.43774677078 ′
  2. 1 × 3.43774677078 = 3.43774677078 ′

How to convert milliradians to minutes of arc

1 mrad = 3.43774677078 ′, so multiply by 3.43774677078 to go from milliradians to minutes of arc. Going the other way, 1 ′ = 0.290888208666 mrad.

′ = mrad × 3.43774677078
mrad = ′ × 0.290888208666

Worked example:

1 mrad = 3.43774677078 ′
5 × 3.43774677078 = 17.1887338539 ′

Milliradians to minutes of arc table

MilliradiansMinutes of Arc
1 mrad3.43774677078 ′
2 mrad6.87549354157 ′
3 mrad10.3132403124 ′
4 mrad13.7509870831 ′
5 mrad17.1887338539 ′
6 mrad20.6264806247 ′
7 mrad24.0642273955 ′
8 mrad27.5019741663 ′
9 mrad30.9397209371 ′
10 mrad34.3774677078 ′
15 mrad51.5662015618 ′
20 mrad68.7549354157 ′
25 mrad85.9436692696 ′
30 mrad103.132403124 ′
40 mrad137.509870831 ′
50 mrad171.887338539 ′
75 mrad257.831007809 ′
100 mrad343.774677078 ′
250 mrad859.436692696 ′
500 mrad1,718.87338539 ′
1000 mrad3,437.74677078 ′

About the units

Milliradians (mrad)
Milliradians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
Minutes of Arc (′)
Minutes of arc, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed