In the following exercises, (a) find the center-radius form of the equation of each circle described, and (b) graph it. See Examples 5 and 6. center (√2, √2), radius √2

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1. Identify the center of the circle as \((\sqrt{2}, \sqrt{2})\) and the radius as \(\sqrt{2}\).
2. Recall the center-radius form of a circle's equation: \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center and \(r\) is the radius.
3. Substitute the center \((h, k) = (\sqrt{2}, \sqrt{2})\) and the radius \(r = \sqrt{2}\) into the equation.
4. The equation becomes \((x - \sqrt{2})^2 + (y - \sqrt{2})^2 = (\sqrt{2})^2\).
5. Simplify the equation to \((x - \sqrt{2})^2 + (y - \sqrt{2})^2 = 2\).