Mechanics Homework 20-3 722 - Semicircle and quarter circle | Centroid of composite area Name_______________
Mr. HaynesDate_______________

Problem 20-3 Use the composite area method to locate the centroid of the shaded area in Fig. P-722 which was created by cutting a semicircle of diameter \(r\) from a quarter circle of radius \(r\).

image

\(\bar{x} = \dfrac{2r}{\pi} = 0.6366r\)

\(\bar{y} = 0.3488r\)