Problem #$21-$ Centroid Analysis $(10$ points total, $2$ parts$)$

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: Part A $(5$ points$)$; 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$).$

Part B $(5$ points$)$: Determine the centroid of the composite shape below

Answer Key

$\backslash$table$[[$Shape$,$Area $($in $),x($in$),y($in$),$Ax $(i{n}^3),$Ay $(i{n}^3)$