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Geometry question 7

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最佳解答:

Denote the mid-point of AB as O, then O is the centre of the cicle. OA = OB = OE = 6 so AD = OE = 6 The area of rectangle ABCD = 12 × 6 = 72 The area of triangle ACD = 72/2 = 36 The area of the white part at the top left = 62 - (1/4) π 62 = 36 - 9π Therefore, the area of the shaded region = 36 - (36 - 9π) = 9π (A)

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