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Milliradians to Seconds of Arc Converter

Convert milliradians (mrad) to seconds 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
206.264806247 ″
radians
0.001 rad
degrees
0.0572957795131 °
minutes of arc
3.43774677078 ′
gradians (gons)
0.0636619772368 gon
revolutions (turns)
0.000159154943092 rev
mils (NATO, 6,400 per turn)
1.01859163579 mil

1 mrad = 206.264806247 ″

Show the working
  1. 1 mrad = 206.264806247 ″
  2. 1 × 206.264806247 = 206.264806247 ″

How to convert milliradians to seconds of arc

1 mrad = 206.264806247 ″, so multiply by 206.264806247 to go from milliradians to seconds of arc. Going the other way, 1 ″ = 0.0048481368111 mrad.

″ = mrad × 206.264806247
mrad = ″ × 0.0048481368111

Worked example:

1 mrad = 206.264806247 ″
5 × 206.264806247 = 1031.32403124 ″

Milliradians to seconds of arc table

MilliradiansSeconds of Arc
1 mrad206.264806247 ″
2 mrad412.529612494 ″
3 mrad618.794418741 ″
4 mrad825.059224988 ″
5 mrad1,031.32403124 ″
6 mrad1,237.58883748 ″
7 mrad1,443.85364373 ″
8 mrad1,650.11844998 ″
9 mrad1,856.38325622 ″
10 mrad2,062.64806247 ″
15 mrad3,093.97209371 ″
20 mrad4,125.29612494 ″
25 mrad5,156.62015618 ″
30 mrad6,187.94418741 ″
40 mrad8,250.59224988 ″
50 mrad10,313.2403124 ″
75 mrad15,469.8604685 ″
100 mrad20,626.4806247 ″
250 mrad51,566.2015618 ″
500 mrad103,132.403124 ″
1000 mrad206,264.806247 ″

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).
Seconds of Arc (″)
Seconds 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