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      Question

      The area of a circle is nine times its circumference

      (numerically). What is the diameter of the circle?
      A 27 units Correct Answer Incorrect Answer
      B 10 units Correct Answer Incorrect Answer
      C 36 units Correct Answer Incorrect Answer
      D 21 units Correct Answer Incorrect Answer

      Solution

      ATQ,

      Circumference = 2 ├Ч ╧А ├Ч r

      Area = ╧А ├Ч r┬▓

      Let radius = r units

      Then, ╧А ├Ч r┬▓ = 9 ├Ч 2 ├Ч ╧А ├Ч r

      тЗТ r┬▓ = 18r

      тЗТ r = 18

      Diameter = 2 ├Ч 18 = 36 units

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