Step-by-step explanation:
**The ratio of the circumference of the circle to the perimeter of the square is 2π : 4, or π : 2.**
Since the area of the square is 9 square inches, the side length of the square is 3 inches. The perimeter of the square is therefore 4 * 3 = 12 inches.
The diameter of the circle is equal to the side length of the square, which is 3 inches. Therefore, the radius of the circle is 1.5 inches. The circumference of the circle is therefore 2π * 1.5 = 3π inches.
Therefore, the ratio of the circumference of the circle to the perimeter of the square is:
```
3π inches / 12 inches = **2π : 4, or π : 2**
```