In the figure above, a small circle, with radius x, is inside a larger circle, with radius What is the area, in terms of x, of t

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问题 In the figure above, a small circle, with radius x, is inside a larger circle, with radius What is the area, in terms of x, of the shaded region?

选项 A、6π-2πx
B、6π-πx²
C、12π-2πx
D、36π-2πx
E、36π-πx²

答案E

解析 The correct answer is E. To solve this problem, first calculate the area of the larger circle: A=πr²=π6² = 36π. Next, calculate the area of the smaller circle: A=x²π. Finally, subtract the area of the smaller circle from the area of the larger circle: 36π-x²π.

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In the figure above, a small circle, with radius x, is inside a larger circle, with radius What is the area, in terms of x, of t

GRE QUANTITATIVE

GRE

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