Given the graph of a circle
To find the equation of the circle, we need to find the location of the center and the length of the radius
As shown, we can notice that the x-axis bisect the circle
So, the diameter and the center are lying on the x-axis
The diameter is the length between the points of intersection with the x-axis
As shown, the diameter is the line segment with the endpoints:
(3, 0) and (9, 0)
so, the diameter = 9 - 3 = 6
So, the radius = r = 3
And the location of the center = (h, k) = (6, 0)
The equation of the circle will be as follows:
Expand then simplify:
So, the answer will be option 3