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To find the area, we can calculate the area of each individual component and then sum them up.
Area of the hole = πr^2 = π(6)^2 = 36π
Area of the surrounding section = 12*4 = 48 sq ft
Total area = 36π + 48 ≈ 149.54 sq ft
So, Anaca's design has an area of approximately 149.54 square feet.