Answer:
(x - 2)^2 + (y + 8)^2 = 121
Explanation:
Given the coordinates of the circle's center and its radius, we can write the equation of the circle in standard form, 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 substitute 2 for h, -8 for k, and 11 for r. Then we simplify:
(x - 2)^2 + (y - (-8))^2 = 11^2
(x - 2)^2 + (y + 8)^2 = 121
Therefore, (x - 2)^2 + (y + 8)^2 = 121 represents a circle with a center at (2, -8) and a radius of 11.