Final answer:
The area of each identical circle is calculated as 36π square units after solving for x = 3 and subsequently finding the radius to be 6 units.
Step-by-step explanation:
The question relates to finding the area of two identical circles given certain dimensions for the radii and diameter. Since both circles are identical, this means that the diameter of Circle B is twice the radius of Circle A. With Circle A's radius given as x + 3 and Circle B's diameter given as 6x, we can set up the relation 2(x + 3) = 6x. Solving this equation gives us x = 3, and thus the radius of each circle is 6 (since x + 3 = 3 + 3).
The area of a circle is calculated using the formula A = πr². Plugging in the radius, we get A = π * 6² = π * 36. Hence, the area of each circle is 36π square units.