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    Question

    A square has the same perimeter as a rectangle with

    length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose radius is the same as the side of the square.
    A 27 cm Correct Answer Incorrect Answer
    B 45 cm Correct Answer Incorrect Answer
    C 65 cm Correct Answer Incorrect Answer
    D 72 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

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

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