Chapter 6.6, Problem 285E

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.

285. [T] Quarter-circle: $y=\sqrt{1-x^{{}^2}},y=0$ , and $x=0$