Mechanics Homework 20-1 722 - Semicircle and quarter circle | Centroid of composite area Name_______________

Problem 20-1 Locate the centroid of the shaded area in Fig. P-722 created by cutting a semicircle of diameter r from a quarter circle of radius r.

image

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

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