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      Question

      The numerical value of the area of a circular park is ten

      times the numerical value of its perimeter. Find the diameter of the park.
      A 28 units Correct Answer Incorrect Answer
      B 40 units Correct Answer Incorrect Answer
      C 36 units Correct Answer Incorrect Answer
      D 21 units Correct Answer Incorrect Answer

      Solution

      ATQ,

      Perimeter (circumference) = 2 ├Ч ╧А ├Ч r

      Area = ╧А ├Ч r┬▓

      Let radius = r units

      ╧А ├Ч r┬▓ = 10 ├Ч 2 ├Ч ╧А ├Ч r

      тЗТ r┬▓ = 20r

      тЗТ r = 20

      Diameter = 2 ├Ч 20 = 40 units

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