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      Question

      The radius of a circle is increased by 20%. Find the

      percentage increase in the area of the circle.
      A 20% Correct Answer Incorrect Answer
      B 40% Correct Answer Incorrect Answer
      C 44% Correct Answer Incorrect Answer
      D 60% Correct Answer Incorrect Answer
      E 25% Correct Answer Incorrect Answer

      Solution

      The area of a circle is A = Ο€rΒ². If the radius increases by 20%,Β  the new radius is 1.2r. The new area is A' = Ο€(1.2r)Β²Β  = 1.44Ο€rΒ². The percentage increase in area = (1.44 - 1) Γ— 100 = 44%. Correct answer: c) 44%

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