Answer:
(x-2)∧2 + (y+6)∧2 = 81
Explanation:
This is the equation of a circle whose center is shifted from the origin
The x coordinate of the center is 2 so we put in (x-6)
The y coordinate of the center is -6 so we put in (y+6)
and the standard form of the equation of a circle
(x-a)∧2 + (y-b)∧2 = r∧2
the radius of the circle is 9.
So the equation of the circle if
(x-2)∧2 + (y-2)∧2 = 81