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    Question

    Perimeter of a square and circumference of a circle are

    in the ratio 4:11, respectively. If area of the square is 16 cm2, then find the radius of the circle. (Take Ο€ = 22/7)
    A 7 cm Correct Answer Incorrect Answer
    B 6 cm Correct Answer Incorrect Answer
    C 8 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the perimeter of the square and circumference of the circle be β€˜4x’ cm and β€˜11x’ cm, respectively. Area of square = a2 (Where β€˜a’ is the side of the square) ATQ; 16 = a2 Or, a = 4 cm So, perimeter of the square = 4 Γ— 4 = 16 cm So, circumference of circle = 16 Γ— (11x/4x) = 44 cm Circumference of circle = 2Ο€r (Where β€˜r’ is the radius) So, 44 = 2 Γ— (22/7) Γ— r Or, r = 7 cm Therefore, radius of the circle is 7 cm.

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