Second Moment of Area of a Circle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

circle arc 4circle xy 1Second Moment of Area of a Circle formulas

\(\large{ I_{x} =  \frac { \pi \; r^4}{ 4 }  }\)   
\(\large{ I_{y} = \frac { \pi \; r^4}{ 4 }  }\)   
\(\large{ I_{x1} =   \frac { 5 \; \pi \; r^4}{ 4 }  }\)   
\(\large{ I_{y1} =  \frac {5 \; \pi \; r^4}{ 4 }  }\)  

Where:

 Units English Metric
\(\large{ I }\) = moment of inertia \(\large{ in^4 }\) \(\large{ mm^4 }\) 
\(\large{ \pi }\) = Pi \(\large{3.141 592 653 ...}\)
\(\large{ r }\) = radius \(\large{ in }\) \(\large{mm  }\)

 

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