Final answer:
The center of the circle is (3, 5) and the radius is √23.
Step-by-step explanation:
The equation of the given circle is x² + y² - 6x - 10y + 11 = 0.
To find the center and radius, we rearrange the equation in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Completing the square for the x terms, we have (x - 3)² + (y - 5)² = 9 + 25 - 11 = 23.
Therefore, the center of the circle is (3, 5) and the radius is √23.