Re: The circle with center D is drawn inside the circle with center C, as
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11 Jun 2023, 04:00
OE
The question asks for the area of semicircle EAB. The questions states that the circle with center D has a radius of 3 because CD = 3, which means that the diameter of the smaller circle is equal to 2 × 3 = 6. The radius of the larger circle with center C is the diameter of the smaller circle, which is equal to 6. So, the area of the larger circle is π6 2 = 36π. The area of semicircle EAB is equal to one half the area of the larger circle, so one half of 36π is 18π. The correct answer is (D).