To solve the problem, we analyze the common setup involving a square and overlapping quarter circles:

Step 1: Identify the setup

Assume the problem involves a square of side length 4. Two quarter circles (radius 4) are drawn from opposite corners of the square, overlapping to form a shaded lens shape.

Step 2: Calculate the area of the two quarter circles

Each quarter circle has area:
[ \frac{1}{4} \pi r^2 = \frac{1}{4} \pi (4)^2 = 4\pi ]
Two quarter circles sum to:
[ 2 \times 4\pi = 8\pi ]

Step 3: Relate to the square’s area

The square’s area is (4 \times 4 = 16). The sum of the two quarter circles counts the overlapping shaded area twice, while the square includes it once. Let the shaded area be (S):
[ 8\pi = 16 + S ]

Step 4: Solve for the shaded area

[ S = 8\pi - 16 ]

Answer: A. (8\pi - 16)

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