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Degrees to Milliradians Converter

Convert degrees (°) to milliradians (mrad), 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
17.4532925199 mrad
radians
0.0174532925199 rad
minutes of arc
60 ′
seconds of arc
3,600 ″
gradians (gons)
1.11111111111 gon
revolutions (turns)
0.00277777777778 rev
mils (NATO, 6,400 per turn)
17.7777777778 mil

1 ° = 17.4532925199 mrad

Show the working
  1. 1 ° = 17.4532925199 mrad
  2. 1 × 17.4532925199 = 17.4532925199 mrad

How to convert degrees to milliradians

1 ° = 17.4532925199 mrad, so multiply by 17.4532925199 to go from degrees to milliradians. Going the other way, 1 mrad = 0.0572957795131 °.

mrad = ° × 17.4532925199
° = mrad × 0.0572957795131

Worked example:

1 ° = 17.4532925199 mrad
5 × 17.4532925199 = 87.2664625997 mrad

Degrees to milliradians table

DegreesMilliradians
1 °17.4532925199 mrad
2 °34.9065850399 mrad
3 °52.3598775598 mrad
4 °69.8131700798 mrad
5 °87.2664625997 mrad
6 °104.71975512 mrad
7 °122.17304764 mrad
8 °139.62634016 mrad
9 °157.079632679 mrad
10 °174.532925199 mrad
15 °261.799387799 mrad
20 °349.065850399 mrad
25 °436.332312999 mrad
30 °523.598775598 mrad
40 °698.131700798 mrad
50 °872.664625997 mrad
75 °1,308.996939 mrad
100 °1,745.32925199 mrad
250 °4,363.32312999 mrad
500 °8,726.64625997 mrad
1000 °17,453.2925199 mrad

About the units

Degrees (°)
Degrees, 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).
Milliradians (mrad)
Milliradians, a metric unit. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).

Formula version 0.1.0Reviewed