Radius of Gyration of a Circle formulas |
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\( k_{x} \;=\; \dfrac{ r }{ 2 }\) \( k_{y} \;=\; \dfrac{ r }{ 2 }\) \( k_{z} \;=\; \dfrac{ \sqrt{2} }{ 2 } \cdot r \) \( k_{x1} \;=\; \dfrac{ \sqrt{5} }{ 2 } \cdot r \) \( k_{y1} \;=\; \dfrac{ \sqrt{5} }{ 2 } \cdot r \) \( k_{z1} \;=\; \dfrac{ \sqrt{10} }{ 2 } \cdot r \) |
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| Symbol | English | Metric |
| \( k \) = radius of gyration | \( in \) | \( mm \) |
| \( r \) = radius | \( in \) | \( mm \) |
The radius of gyration of a circle about its center (perpendicular to its plane) is a measure of how its mass is distributed relative to the axis of rotation. It is defined as the distance from the axis where the entire mass of the circle could be concentrated to produce the same moment of inertia.
