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    Question

    The perimeter of a square is the same as that of a

    rectangle with length 18 cm and width 10 cm. What will be the circumference of a semicircle whose radius equals the side of the square?
    A 45 cm Correct Answer Incorrect Answer
    B 72 cm Correct Answer Incorrect Answer
    C 62 cm Correct Answer Incorrect Answer
    D 52 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Perimeter of the rectangle = 2(18 + 10) = 2 × 28 = 56 cm Perimeter of the square = 4 × side of square 56 = 4 × side of square So, side of square = 14 cm Radius of semicircle = 14 cm Circumference of semicircle = πr + 2r = (22/7) × 14 + 2 × 14 = 44 + 28 = 72 cm

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