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      Question

      Perimeter of a square and circumference of a circle are

      in the ratio 9:11, respectively. If area of the square is 81 cm2, then find the radius of the circle. (Take ╧А = 22/7)
      A 7 cm Correct Answer Incorrect Answer
      B 6 cm Correct Answer Incorrect Answer
      C 8 cm Correct Answer Incorrect Answer
      D 9 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the perimeter of the square and circumference of the circle be тАШ9xтАЩ cm and тАШ11xтАЩ cm, respectively. Area of square = a2 (Where тАШaтАЩ is the side of the square) ATQ; 81 = a2 Or, a = 9 cm So, perimeter of the square = 9 ├Ч 4 = 36 cm So, circumference of circle = 36 ├Ч (11x/9x) = 44 cm Circumference of circle = 2╧Аr (Where тАШrтАЩ is the radius) So, 44 = 2 ├Ч (22/7) ├Ч r Or, r = 7 cm Therefore, radius of the circle is 7 cm.

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