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      Question

      A square ABCD is inscribed in a quadrant APCQ in the

      given figure. If AB = 20 cm, find the area of the shaded region (take ╧А=3.14) correct to two places of decimal
      A 225cm┬▓ Correct Answer Incorrect Answer
      B 143cm┬▓ Correct Answer Incorrect Answer
      C 228cm┬▓ Correct Answer Incorrect Answer
      D 200cm┬▓ Correct Answer Incorrect Answer

      Solution

      Side of square = 20 Radius of quadrant =Diagonal of square R= 20тИЪ2 Area of the shaded region = area of quadrant тАУ area of square = ╧Аr┬▓/4 - side┬▓ = (3.14├Ч20тИЪ2├Ч20тИЪ2)/4 - 400 =400(3.14 тАУ 2)/2 =200├Ч1.14 =228cm┬▓

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