(Solved): A step-by-step would help me out a ton. (4 pts) An annulus is determined by a major radius R and a m ...

(4 pts) An annulus is determined by a major radius $R$ and a minor radius $r$. See the picture below. The area of such an annulus is given by $A=\pi \left(R^2-r^2\right)$. Suppose the major radius of the annulus is supposed to be 6 inches and the minor radius is supposed to be 2 inches; however each of these measurements can have an error of much as $5\%$. Use differentials to estimate the maximum error in the area of the annulus. (A) $4.0\pi {\mathrm{in}}^2$ (B) $2.5\pi {\mathrm{in}}^2$ (C) $4.4\pi {\mathrm{in}}^2$ (D) $1.8\pi {\mathrm{in}}^2$ A B C