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Answer:
about 18.3 square meters
Step-by-step explanation:
Since the circle has radius 4 meters, the area of the circle is (4^2)π, or 16π square meters, The area of the square is (4√2)^2, or 32 square meters. Subtracting, we have 16π-32, or about 18.3 square meters, for the area of the shaded region.