Acircle is centered at (−4, −6) and has a radius of 3. which of the following is the equation for this circle?
a. (x + 4)2 + (y + 6)2 = 3
b. (x − 4)2 + (y − 6)2 = 9
c. (x − 4)2 + (y − 6)2 = 3
d. (x + 4)2 + (y + 6)2 = 9

D.

Step-by-step explanation:

The standard equation of circle is given by :-

, where (h,k) is the center and r is the radius of the circle.

Since it is given that a circle is centered at (−4, −6) and has a radius of 3.

Then, the equation for this circle will be