$(6$ points$)$ Difficulty $(3/5)$

Dimensions:

Problem Statement:

The convex curved boundary of the shape shown is a portion of a circle centered at the origin. The

concave curved boundary is a half$-$circle. Given the dimensions above, find:

the $x$ location of the centroid of the shape, and,

the $y$ location of the centroid of the shape

Answers:

$x_{\text{c}\text{e}\text{n}\text{t}\text{r}\text{o}\text{i}\text{d}}=$

$y_{\text{c}\text{e}\text{n}\text{t}\text{r}\text{o}\text{i}\text{d}}=$

be sure to include units with your answers