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      Question

      In the given figure, radius of a circle is 14 тИЪ2 cm.

      PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm2 ) of all the small squares?
      A 31.36 Correct Answer Incorrect Answer
      B 125.44 Correct Answer Incorrect Answer
      C 62.72 Correct Answer Incorrect Answer
      D 156.8 Correct Answer Incorrect Answer

      Solution

      Radius тЖТ 14тИЪ2, diameter = 28тИЪ2 Side = diagonal / тИЪ2┬а = 28тИЪ2 / тИЪ2 = 28 Side of square = 28 JO = 14 and JK = side of square small s Ok = 14 + 5 Kr = s/2 , and OX = 14тИЪ2 PGT тИЖ OKx (S/2)2 + (14 + S)2 = (14тИЪ2)2 S2 / 4 + 196 + S2 + 285 = 392 S = 5.6 a2┬а= (5.6)2 = 31.36 = 31.36 ├Ч 4 = 125.44 cm2

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