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    Question

    The perimeter of a square is equal to the perimeter of a

    rectangle of length 56 cm and breadth 42 cm. Find the perimeter of a semicircle (in cm) whose diameter is equal to the side of the square (Use π = 22/7)
    A 126 Correct Answer Incorrect Answer
    B 224 Correct Answer Incorrect Answer
    C 198 Correct Answer Incorrect Answer
    D 182 Correct Answer Incorrect Answer

    Solution

    Perimeter of a rectangle = 2(56 +42) =196 cm = perimeter of a square = 196 cm 4 x side of a square = 196 cm   side of a square = 49.cm diameter of semicircle =49 cm 2r= 49 cm r= 49/2 cm Perimeter of a semi-circle = πι +2r = (22/7 x 49/2) + 2 x 49 = (77+49) = 126 cm. The perimeter of a semi- circle is 126 cm.

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