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      The radius of two concentric circles is in the ratio 2:5, then find out the ratio between their areas.

      The radius of two concentric circles is in the ratio 2:5, then find out the ratio between their areas.

      I cannot solve this GMAT. Please help me. Tell me which is the correct answer?

      a. 2:5
      b. 5:2
      c. 4:25
      d. 25:4
      e. None of the above

      1 Answers
      Brong

      Thanks you very much for your question. Your questions was – The radius of two concentric circles is in the ratio 2:5, then find out the ratio between their areas.

      According to the question,
      the radius of two concentric circles is in the ratio 2:5.
      The standard formula to calculate the area of a circle (A) = Πr2, where r is the radius of the circle.
      Since, p is a constant, we can say that A is directly proportional to the square of the
      radius.
      ∴ A1 : A2 = r12 : r22 = (2)2 : (5)2 = 4 : 25
      Hence, the correct answer is option c.

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      Answered by KnowledgeWorld on December 21, 2017..