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    Question

    The perimeter of a rectangle is equal to that of a square.

    If the rectangle's length is 22 cm and its breadth is 13 cm, what is the circumference of a semicircle whose radius equals the square’s side?
    A 90 cm Correct Answer Incorrect Answer
    B 42 cm Correct Answer Incorrect Answer
    C 65 cm Correct Answer Incorrect Answer
    D 84 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Perimeter of the rectangle = 2(22 + 13) = 2 × 35 = 70 cm

    Perimeter of the square = 4 × side

    70 = 4 × side

    Side of square = 17.5 cm

    Radius = 17.5 cm

    Circumference = πr + 2r = (22/7) × 17.5 + 2 × 17.5 = 385/7 + 35 = 55 + 35 = 90 cm

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