Find the area of the shaded region.
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Captionless Image
631.125 cm^2
53.0625 cm^2
17.0625 cm^2
1.948 cm^2
To find the area of the shaded region, we need to subtract the area of the circle from the area of the square.
Area of the circle = πr^2, where r = 7 cm
Area of the circle = π*(7)^2 = π*49 ≈ 153.94 cm^2
Area of the square = s^2, where s = 14 cm
Area of the square = 14^2 = 196 cm^2
Area of shaded region = Area of square - Area of circle
Area of shaded region = 196 - 153.94 ≈ 42.06 cm^2
Therefore, the closest option is 53.0625 cm^2.