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    Question

    Perimeter of a square is equal to the perimeter of a

    circle that is 880 cm. Find the ratio of the side of the square to the radius of the circle.
    A 5:6 Correct Answer Incorrect Answer
    B 7:13 Correct Answer Incorrect Answer
    C 11:7 Correct Answer Incorrect Answer
    D 10:7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, radius of circle and side of square be ‘r’ cm and ‘a’ cm, respectively. Perimeter of the circle = 2πr 880 = 2 × 22/7 × r 880 × 7/22 × 1/2 = r r = 140 cm Perimeter of the square = 4a 880 = 4a a = 220 cm Required ratio = 220:140 = 11:7

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