# Radius of Gyration

Radius of gyration, abbreviated as k or r, also called gyradius, is the distance from the axis of rotation to a point where the total mass of the body is supposed to be concentrated.

## Radius of gyration Formula

\(\large{ k = \sqrt{ \frac{ I }{ A } } }\) |

### Where:

\(\large{ k }\) = radius of gyration

\(\large{ A }\) = area cross-section of material

\(\large{ I }\) = secont moment of area

Tags: Equations for Inertia