The equation of a circle in standard form is given by ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center of the circle and (r) is the radius. For a circle centered at the point (3, 2) with a radius of 5, the equation is ((x - 3)^2 + (y - 2)^2 = 5^2). Simplifying this, we get ((x - 3)^2 + (y - 2)^2 = 25).
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