Answer:
a = 0
b = -5
r = 3
Explanation:
Given that the center of the circle is at (0, -5) and the diameter of the circle is 6 units, we can determine the values of a, b, and r for the standard equation of a circle: (x - a)^2 + (y - b)^2 = r^2.
a: The x-coordinate of the center of the circle, which is 0 in this case.
b: The y-coordinate of the center of the circle, which is -5 in this case.
r: The radius of the circle, which is half of the diameter. So, r = 6/2 = 3 units.
Therefore, the values for a, b, and r are:
a = 0
b = -5
r = 3