#### Answer

$4\pi(r+1)$

#### Work Step by Step

Area of the outer circle with radius r+2 = $\pi(r+2)^2$
Area of the inner circle with radius r = $\pi(r)^2$
Subtract the area of the smaller circle from the area of the bigger circle to get the area of the shaded portion = $\pi(r+2)^2-$$\pi(r)^2$=$4r\pi+4\pi$