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Radius of Gyration of a Regular Polygon

 

Radius of Gyration of a Regular Polygon formulas

\( k_{x} \;=\;   \sqrt{  \dfrac{ 6 \cdot  R^2 - a^2 }{ 24 }  }    \) 

\( k_{y} \;=\;   \sqrt{  \dfrac{ 6 \cdot R^2 - a^2 }{ 24 }  }   \) 

\( k_{z} \;=\;   \sqrt{  k_{x}{^2}  +  k_{y}{^2}  }   \)

Symbol English Metric
\( k \) = radius of gyration \( in \) \( mm \)
\( a \) = edge \( in \) \( mm \)
\( R \) = outside radius \( in \) \( mm \)

regular polygon 2

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