Final answer:
The equation of the circle with a given center and another point can be found using the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
Step-by-step explanation:
The given information represents the center and another point on a circle. To find the equation of the circle, we can use the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius of the circle.
In this case, the center is (3, -3) and another point on the circle is (11, 3). We can use these values to find the radius:
Radius = √((11 - 3)^2 + (3 - (-3))^2) = √64 = 8
Therefore, the equation of the circle is (x - 3)^2 + (y + 3)^2 = 64