Second moment of area for octagon

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To find the second moment of area for a regular octagon with side length a, it is suggested to break the shape into simpler components such as rectangles and triangles. However, discrepancies in calculations may arise depending on the method of decomposition used. The neutral axis is specified as being perpendicular to two parallel edges, which is crucial for accurate calculations. Participants in the discussion encourage sharing detailed calculations to identify errors and provide assistance. Accurate results depend on consistent methodology and correct application of geometric principles.
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How do you find the second moment of area for a regular octagon with side length a? I know you can break it up into rectangles and triangles, but I cannot get my answers to match when I break it up different ways. The neutral axis is perpendicular to 2 parallel edges
 
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