单选题 Let P and Q be points which are two inches apart, and let A be the area, in square inches, of a circle which passes through P and Q. Which of the following is the set of all possible values for A?
  • (A) 0<A
  • (B) 0<A ≤π
  • (C) A=π
  • (D) A>π
  • (E) A ≥π


【正确答案】 E
【答案解析】If PQ is a diameter of the circle, then the radius is 1 and A, the area, is π. This is the smallest possible value of A, but A can be any number larger than π if the radius is made sufficiently large, as shown by the figures below.
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The answer is A ≥ π.