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      Question

      Perimeter of a square and circumference of a circle are

      in the ratio 10:11, respectively. If area of the square is 100 cm2, then find the radius of the circle. (Take Ο€ = 22/7)
      A 11 cm Correct Answer Incorrect Answer
      B 6 cm Correct Answer Incorrect Answer
      C 8 cm Correct Answer Incorrect Answer
      D 7 cm Correct Answer Incorrect Answer

      Solution

      Let the perimeter of the square and circumference of the circle be β€˜10x’ cm and β€˜11x’ cm, respectively. Area of square = a2 (Where β€˜a’ is the side of the square) ATQ; 100 = a2 Or, a = 10 cm So, perimeter of the square = 10 Γ— 4 = 40 cm So, circumference of circle = 40 Γ— (11x/10x) = 44 cm Circumference of circle = 2Ο€r (Where β€˜r’ is the radius) So, 44 = 2 Γ— (22/7) Γ— r Or, r = 7 cm Therefore, radius of the circle is 7 cm.

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