Write an equation of the circle with center (-9, - 6) and diameter 12.

(x+9) ^2 + (y+6) ^2=36

Step-by-step explanation:

The equation of a circle is (x-h) ^2 + (y-k) ^2=r^2 where (h, k) is the given center and r is the radius of the circle.

Given a center of (-9,-6) we have (x+9) ^2 + (y+6) ^2=r^2 so far.

Since the diameter is 12, half of that is the radius which is 6, so the equation of the circle is (x+9) ^2 + (y+6) ^2=36 (as 36 is 6^2)