The relationship of arcs is: S '/ S = ((1/9) * pi * 3) / (2 * pi * 3) Rewriting we have: S '/ S = ((1/9)) / (2) S '/ S = 1/18 Therefore, the area of the shaded region is: A '= (S' / S) * A Where A: area of the complete circle: A '= (1/18) * pi * r ^ 2 A '= (1/18) * pi * (3) ^ 2 A '= (1/18) * pi * 9 A '= (1/2) * pi Answer: The area of the shaded region is: A '= (1/2) * pi
