Milliradians to Degrees Converter (mrad to °)

Convert milliradians to degrees (mrad to °). See results in degrees, MOA, NATO mils, and size at 100 yards. Essential for interpreting scope adjustments, ballistic data, and military applications.

mrad

ANGLE IN DEGREES

0.057296°


MOA

3.44

NATO MILS

1.02

@ 100 YD

3.60"

RADIANS

0.001000

Milliradians to Degrees — Quick Reference

mradDegreesMOA@ 100ydShooting Context
0.1 mrad0.0057°0.340.4"1 scope click (0.1 mrad)
0.2 mrad0.0115°0.690.7"2 clicks
0.5 mrad0.0286°1.721.8"Small wind hold
1 mrad0.0573°3.443.6"Standard mil-dot spacing
2 mrad0.1146°6.887.2"200yd zero offset
3 mrad0.1719°10.3110.8"300yd holdover
5 mrad0.2865°17.1918.0"500yd holdover
10 mrad0.5730°34.3836.0"1000yd holdover
17.45 mrad0.9998°59.9962.8"= 1 degree
50 mrad2.8648°171.89180.0"Wide angle

How to Convert Milliradians to Degrees

Divide by 17.4533 (or multiply by 0.05730):

degrees = mrad ÷ 17.4533

Example: 1 mrad (standard mil-dot)
= 1 ÷ 17.4533 = 0.05730°

Example: 0.1 mrad (one scope click)
= 0.1 ÷ 17.4533 = 0.00573°

Example: 17.4533 mrad (= 1 degree)
= 17.4533 ÷ 17.4533 = 1.0°

Practical tip: Most shooters don't convert to degrees — they work directly in mrad. But understanding the relationship helps when cross-referencing degree-based instruments (compasses, inclinometers) with scope adjustments.

mrad to Size at Distance

mrad@ 100 yd@ 200 yd@ 500 yd@ 1000 yd
0.1 mrad0.36"0.72"1.80"3.60"
0.2 mrad0.72"1.44"3.60"7.20"
0.5 mrad1.80"3.60"9.00"18.0"
1.0 mrad3.60"7.20"18.0"36.0"
2.0 mrad7.20"14.4"36.0"72.0"
5.0 mrad18.0"36.0"90.0"180"

Rule of thumb: 1 mrad = 3.6 inches per 100 yards. Scales linearly — at 200 yards it's 7.2", at 300 yards it's 10.8", etc.

Scope Turret Click Guide

Clicks (0.1 mrad)mradDegrees@ 100ydTypical Use
1 click0.10.00573°0.36"Fine zero adjustment
2 clicks0.20.01146°0.72"Small wind correction
5 clicks0.50.02865°1.80"Moderate hold
10 clicks1.00.05730°3.60"1 mil-dot holdover
20 clicks2.00.11459°7.20"200yd elevation
50 clicks5.00.28648°18.0"500yd elevation

Interpreting Ballistic Software Output

SoftwareOutputs InTo Get Degrees
Applied Ballisticsmrad or MOA÷ 17.4533
Strelok Promrad, MOA, clicks÷ 17.4533
Kestrel 5700 Elitemrad or MOA÷ 17.4533
Hornady 4DOFmrad or MOA÷ 17.4533
JBM Ballisticsmrad, MOA, inches÷ 17.4533

.308 Win & 6.5 Creedmoor Holdover (mrad → degrees)

Range.308 Win (mrad).308 (degrees)6.5 CM (mrad)6.5 CM (degrees)
200 yd0.5 mrad0.029°0.4 mrad0.023°
400 yd2.3 mrad0.132°1.8 mrad0.103°
600 yd4.8 mrad0.275°3.7 mrad0.212°
800 yd8.2 mrad0.470°6.1 mrad0.350°
1000 yd12.8 mrad0.733°9.0 mrad0.516°

Note: Values are approximate for 100-yard zero. Actual holdover depends on altitude, temperature, and specific load. Always verify with your ballistic solver.

What Is a Milliradian (mrad)?

A milliradian (mrad) = 1/1000 of a radian = 0.05730°. At 100 yards, 1 mrad subtends 3.6 inches. Used by US military snipers, PRS competitors, and tactical shooters for precision adjustments. Most modern mil-dot scopes use 0.1 mrad clicks.

What Is a Degree (°)?

A degree = 1/360 of a full rotation. While degrees are universal for everyday angles, they're too coarse for shooting — 1° = 62.8 inches at 100 yards. That's why milliradians and MOA exist: they subdivide the degree into practical shooting increments.

Milliradians to Degrees Converter (mrad to °) FAQ