Determine the equation of the circle graphed below.

Question

Center : (-5,-6)
Radius 2

Answer 1

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

In this case, the center is (-5,-6) and the radius is 2. Substituting these values into the equation, we get:

(x+5)^2 + (y+6)^2 = 2^2

(x+5)^2 + (y+6)^2 = 4

Therefore, the equation of the circle graphed is:

(x+5)^2 + (y+6)^2 = 4