Question

A circle is drawn on a coordinate plane with the center point at (−4,6)
and a radius of 2. Derive the equation of the circle from the given information. Fill in the missing information in the following equation.(2 points)
(x−
)2+
(y−
)2=

Answer 1

Center (h,k) = (−4,6) and radius r = 2, so r^2 = 4. The equation is
(x + 4)^2 + (y − 6)^2 = 4.