Example #$8-$ Centroid Analysis $-$ Composite Shapes

The composite shape shown below is comprised of several known shapes. Record your answers

on the answer key. Show all work and any assumptions clearly. Determine the following:

A$.$ Calculate the area and the $x$ and $y$ coordinates of the centroid for each known shape. The

circular hole has a radius of $2$ in$.($Hint: Treat this area as negative area$).$

B$.$ Determine the centroid of the composite shape below.