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Area of the square = 8 x 8 = 64 cm²
Find the area of 1 quadrant:
Area = 1/4 πr²
Area = 1/4 π (8)²
Area = 1/4 π (8)² = 352/7 cm²
Find the area of the square that is not shaded by the quadrant:
*See attachment for Area 1
Area not shaded by the quadrant = 64 - 352/7 = 96/7 cm²
Find total area not shaded by the two overlapping quadrants:
*See attachment for Area 1 and Area 2
Area not shaded by the quadrants = 96/7 x 2 = 192/7 cm²
Find the shaded area:
Area of the shaded region = 64 - 192/7 = 256/7 = 36.57 cm²
Answer: The shaded region is 36.57 cm²
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