Chapter 6.6, Problem 289E

For the following exercises, use a calculator to draw the legion enclosed by the curve. Find the area M and the centroid $\left(\bar{x},\bar{y}\right)$ for the given shapes. Use symmetry to help locate the center of mass whenever possible.

289. [T] Half-ring: $y^2+x^2=1,y^2+x^2=4$ , and $y=0$