Final answer:
The equation of the circle shown is x² + y² = 9.
Step-by-step explanation:
The equation of a circle can be written in the form (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center of the circle and r is the radius.
In the given options, the equation x² + y² = 9 is the equation of a circle with center at the origin (0, 0) and radius 3, because 3² = 9.