The area of the region in the plane $\mathbb { R } ^ { 2 }$ given by points $( x , y )$ satisfying $| y | \leq 1$ and $x ^ { 2 } + y ^ { 2 } \leq 2$ is (A) $\pi + 1$ (B) $2 \pi - 2$ (C) $\pi + 2$ (D) $2 \pi - 1$.
The area of the region in the plane $\mathbb { R } ^ { 2 }$ given by points $( x , y )$ satisfying $| y | \leq 1$ and $x ^ { 2 } + y ^ { 2 } \leq 2$ is\\
(A) $\pi + 1$\\
(B) $2 \pi - 2$\\
(C) $\pi + 2$\\
(D) $2 \pi - 1$.