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Degrees to Milliradians Converter

Enter a value to instantly convert between angle units.

Precision4 dp

1 Degree = 17.4533 Milliradian

Key Formulas

Degree → Radian

rad = ° × 0.0174533

Radian → Degree

° = rad × 57.2958

Degree → Gradian

grad = ° × 1.11111

Gradian → Degree

° = grad × 0.9

Formula

mrad = degrees × 17.4532925

Tactical shooters and military personnel use milliradians because of the 1-mrad/1-meter rule: at 1,000 metres, 1 mrad of angular deviation equals approximately 1 metre of linear displacement. Scope turrets click in 0.1 mrad increments, allowing instant mental math for elevation and windage adjustments at known distances. Ballistics data tables, ammunition data, and scope specifications that still reference degrees need to be converted to mrad for practical field use.

Source: ISO 80000-3:2019 (Quantities and units — Space and time)

Last reviewed: · see our methodology

Frequently Asked Questions

Real-World Examples

One milliradian — 0.0573°, the unit of scope adjustment. At 1,000 m, 1 mrad moves point of impact by 1 m horizontally or vertically.

0.0573 ° = 1 mrad

One degree of angle — 17.453 mrad, used when comparing a degree-based ballistic table against a mrad-calibrated scope.

1 ° = 17.453 mrad

Half a degree of elevation change — 8.727 mrad, the scope correction needed when a rifle prints 8.7 cm high at 100 m (= 0.87 m at 1,000 m).

0.5 ° = 8.727 mrad

A 2° declination angle on an artillery table — 34.9 mrad, the adjustment applied to a mrad-graduated elevation wheel.

2 ° = 34.906 mrad