$10)(8$ points$)$ Consider the plane area $($light blue$)$ with a $40$ mm diameter hole in it as shown below.

Determine the x and y centroids $($i$.$e$.\backslash (\backslash$bar$\{$X$\}\backslash )$ and $\backslash (\backslash$bar$\{$Y$\}\backslash ))$ of the area. I$\text{'}$d recommend setting up a results table as was done in class.

Here are a few geometric property figures that you may find helpful.

Semicircle