Answer:
(x - 3)^2 + (y + 4)^2 = 121
Explanation:
Given the the coordinates of the center and the radius, we can find the general equation of the circle, whose general equation is given by:
(x - h)^2 + (y - k)^2 = r^2, where
- (h, k) are the coordinates of the center,
- and r is the radius.
Thus, we can find the general equation of the circle by substituting (3, -4) for (h, k) and 11 for r:
(x - 3)^2 + (y - (-4))^2 = 11^2
(x - 3)^2 + (y + 4)^2 = 121
Thus, (x - 3)^2 + (y + 4)^2 = 121 is the equation of the circle with center (3, -4) and radius 11.