Answer:
33 pi
Step-by-step explanation:
Area of the larger sector = Area of the circle - Area of the smaller sector
Area of the circle = (6)^2 pi = 36 pi
Area of the smaller sector = 1/2 × (6)^2 × theta....,where theta has to be in radians
30° = pi/6
Area of the smaller sector = 1/2 × 36 × pi/6
= 3 pi
Area of the larger sector = 36 pi - 3 pi
Area = 33 pi
