📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Perimeter of a square and circumference of a circle are

    in the ratio 15:11, respectively. If area of the square is 225 cm2, then find the radius of the circle. (Take π = 22/7)
    A 14 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 8 cm Correct Answer Incorrect Answer
    D 7 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 ‘15x’ cm and ‘11x’ cm, respectively. Area of square = a2 (Where ‘a’ is the side of the square) ATQ; 225 = a2 Or, a = 15 cm So, perimeter of the square = 15 × 4 = 60 cm So, circumference of circle = 60 × (11x/15x) = 44 cm Circumference of circle = 2πr (Where ‘r’ is the radius) So, 44 = 2 × (22/7) × r Or, r = 7 cm Therefore, radius of the circle is 7 cm.

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question