Answer:
(x+5)² + (y+6)² = 9
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center coordinates and r being the radius (half the diameter).
so, in our case here a = -5, b = -6
and r is the distance from the center to any point of the circle. that includes the lowest point asking the edge.
the distance of (-5,-6) to (-5,-9) is 3, as both points have the same x-value, and the only difference is in the y-value.
as we are talking about a distance, negative values don't make sense. so, we need the absolute value of -9 - -6 or then of -3, and that is 3.
