Convert Radian to Milliradian

One rad equals 1,000 mrad. This converter allows you to easily convert between Radian and Milliradian in real time.

Formula

rad × 1,000 = mrad

Example: 1 rad = 1,000 mrad

What is Radian?

The radian is the SI unit of angle, defined as the angle subtended by an arc equal in length to the radius of the circle. One radian is approximately 57.296 degrees, and a full circle is 2 pi radians. Radians are the standard angular unit in mathematics, physics, and engineering because calculus formulas (such as the derivative of sine being cosine) require radian measure. Programming language math libraries also use radians by default.

What is Milliradian?

The milliradian is one-thousandth of a radian, approximately 0.0573 degrees. It is widely used in military and shooting applications, where NATO standard scopes use milliradians for angular measurement. One mrad subtends approximately one meter at a distance of 1,000 meters, making range estimation intuitive. Laser beam divergence and optical aberrations are also often specified in milliradians.