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Radians to Minutes of Arc Converter

Convert radians (rad) 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
3,437.74677078 ′
milliradians
1,000 mrad
degrees
57.2957795131 °
seconds of arc
206,264.806247 ″
gradians (gons)
63.6619772368 gon
revolutions (turns)
0.159154943092 rev
mils (NATO, 6,400 per turn)
1,018.59163579 mil

1 rad = 3,437.74677078 ′

Show the working
  1. 1 rad = 3437.74677078 ′
  2. 1 × 3437.74677078 = 3437.74677078 ′

How to convert radians to minutes of arc

1 rad = 3,437.74677078 ′, so multiply by 3,437.74677078 to go from radians to minutes of arc. Going the other way, 1 ′ = 0.000290888208666 rad.

′ = rad × 3,437.74677078
rad = ′ × 0.000290888208666

Worked example:

1 rad = 3437.74677078 ′
5 × 3437.74677078 = 17188.7338539 ′

Radians to minutes of arc table

RadiansMinutes of Arc
1 rad3,437.74677078 ′
2 rad6,875.49354157 ′
3 rad10,313.2403124 ′
4 rad13,750.9870831 ′
5 rad17,188.7338539 ′
6 rad20,626.4806247 ′
7 rad24,064.2273955 ′
8 rad27,501.9741663 ′
9 rad30,939.7209371 ′
10 rad34,377.4677078 ′
15 rad51,566.2015618 ′
20 rad68,754.9354157 ′
25 rad85,943.6692696 ′
30 rad103,132.403124 ′
40 rad137,509.870831 ′
50 rad171,887.338539 ′
75 rad257,831.007809 ′
100 rad343,774.677078 ′
250 rad859,436.692696 ′
500 rad1,718,873.38539 ′
1000 rad3,437,746.77078 ′

About the units

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