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    Question

    A wire is bent to form a square which covers an area of 36

    cm². Later, it is reshaped into a circle. What is the area enclosed by the circle? (Use π = 3)
    A 25 cm² Correct Answer Incorrect Answer
    B 30 cm² Correct Answer Incorrect Answer
    C 36 cm² Correct Answer Incorrect Answer
    D 48 cm² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let length of one side of the square = ‘a’ cm

    So, a² = 36

    Or, a = 6 (We consider only the positive root as length cannot be negative)

    Length of the wire = Perimeter of the square = 6 × 4 = 24 cm

    Circumference of the circle = 24 cm

    Let the radius of the circle = ‘r’ cm

    So, 24 = 2 × π × r

    Or, r = (24/6)

    Or, r = 4 cm

    Area of circle = πr² = 3 × 4 × 4 = 48 cm²

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