Can we find the area bounded by these two graphs?

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The area bounded by the graphs \[y=\sqrt{2-x^2} \qquad \text{and} \qquad x+\left(\sqrt{2}-1\right)y=\sqrt{2}\] equals

1. \(\dfrac{\sin{\sqrt{2}}}{\sqrt{2}}\);

2. \(\dfrac{\pi}{4}-\dfrac{1}{\sqrt{2}}\);

3. \(\dfrac{\pi}{2\sqrt{2}}\);

4. \(\dfrac{\pi^2}{6}\).