Choose the correct answer in the smaller area enclosed by the circle $x^2 + y^2 = 4$ and the line $x + y = 2$ is $$\begin{array}{1} (A)\;2(\pi - 2) \qquad & (B)\;\pi - 2 \qquad &(C)\;2\pi - 1 \qquad & (D)\;2 ( \pi + 2) \end{array}$$

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