Question

    A wire is bent to form a square whose sides are of 11 cm. If the same wire is bent to form a circle, then find the area (in cm2) of the circle formed.

    A 124 Correct Answer Incorrect Answer
    B 174 Correct Answer Incorrect Answer
    C 184 Correct Answer Incorrect Answer
    D 154 Correct Answer Incorrect Answer

    Solution

    Total length of the wire = 4 × length of the square = 4 × 11 = 44 cm So, circumference of the circle = 44 cm Radius of the circle = {44/(2π)} = {44 × 7/44)} = 7 cm Area of the circle formed = (22/7) × 7 × 7 = 154 cm2

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