# What is Radius of Gyration in Physics | Definition, Formula – Rotational Motion

The root mean square distance of its constituent particles from the axis of rotation is called the radius of gyration of a body. It is denoted by K.

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## What is Radius of Gyration in Physics | Definition, Formula – Rotational Motion

K = $$\sqrt{\frac{r_{1}^{2}+r_{2}^{2}+\ldots+r_{n}^{2}}{n}}$$
Therefore, moment of inertia, I = MK² ⇒ K = $$\sqrt{\frac{I}{M}}$$