Centroids of Common Geometric Shapes Rectangle Area and Centroid A=bdA=bd x¯=12bx¯=12b y¯=12dy¯=12d Triangle Area and Centroid A=12bhA=12bh y¯=13hy¯=13h Circle Area and Centroid A=πr2A=πr2 x¯=0x¯=0 y¯=0y¯=0 Semicircle Area and Centroid A=12π...
its centroidliesattheirintersection. •AnareaissymmetricwithrespecttoacenterO ifforeveryelementdAat(x,y)thereexistsan areadA’ofequalareaat(-x,-y). •Thecentroidoftheareacoincideswiththe centerofsymmetry. 6 CentroidsofCommonShapesofAreas 7 CentroidsofCommonShapesofAreas 8 CentroidsofCommonShapesof...