Final answer:
The center of the circle is at the point (3/4, -2/3) and the radius of the circle is 3√2 or approximately 4.24.
Step-by-step explanation:
The center and radius of the circle represented by the equation (x - 3/4)² + (y + 2/3)² = (3√2)² can be determined by comparing it to the standard form equation of a circle, which is (x - h)² + (y - k)² = r². In this equation, the values of h and k represent the x-coordinate and y-coordinate of the center of the circle, and the value of r represents the radius of the circle.
By comparing the given equation to the standard form equation, we can see that the center of the circle is at the point (3/4, -2/3) and the radius of the circle is 3√2 or approximately 4.24.