Question: A circle is inscribed in a square as shown in the figure:

The circumference of the circle is increasing at a constant rate of 6 inches per second. As the circle, the square expands to maintain the condition of tangency

1. Find the rate at which perimeter of the square is increasing
2. At the instant when the area of the circle is $25\pi$ in ² , find the rate of increase in the area enclosed between the circle and the square.

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