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      Question

      The length of sides of a square is twice the radius of a

      circle and perimeter of a rectangle is half the perimeter of the square. If the sum of length and breadth of rectangle is 20 cm, then find the area of the circle (in cm2). [Take Ο€ = 2]
      A 200 sq.cm Correct Answer Incorrect Answer
      B 243 sq.cm Correct Answer Incorrect Answer
      C 300 sq.cm Correct Answer Incorrect Answer
      D 320 sq.cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of a square be β€˜a’. And the radius of a circle be β€˜r’. Now, a = 2r ----- (i) Perimeter of the rectangle = 1/2 Γ— 4a = 2a => 2(l + b) = 2a => 2 Γ— 20 = 2a => a = 20 cm Putting value of β€˜a’ in (i) we get, Radius = r = 20/2 = 10 cm Area of the circle = Ο€r2Β = 2 Γ— 10 Γ— 10 = 200 cm2.

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