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    Question

    A wire is moulded into a circle of radius 21 m. Then the

    wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus formed?
    A 1080 m² Correct Answer Incorrect Answer
    B 980 m² Correct Answer Incorrect Answer
    C 1860 m² Correct Answer Incorrect Answer
    D 1870 m² Correct Answer Incorrect Answer

    Solution

    Circumference of circle = Perimeter of a rectangle = 2πr = 2 × 22/7 × 21 = 132 m Perimeter of a rectangle = 2(l + b) 132 = 2(l + b) 36 + b = 66 B= 66 – 36 = 30 m ∴ Area of the rectangle = l × b = 36 × 30 = 1080 m²

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