ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    Perimeter of a square and circumference of a circle are

    in the ratio 6:11, respectively. If area of the square is 36 cm2, then find the radius of the circle. (Take ╧А = 22/7)
    A 7 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 8 cm Correct Answer Incorrect Answer
    D 9 cm Correct Answer Incorrect Answer

    Solution

    Let the perimeter of the square and circumference of the circle be тАШ6xтАЩ cm and тАШ11xтАЩ cm, respectively. Area of square = a2 (Where тАШaтАЩ is the side of the square) ATQ; 36 = a2 Or, a = 6 cm So, perimeter of the square = 6 ├Ч 4 = 24 cm So, circumference of circle = 24 ├Ч (11x/6x) = 44 cm Circumference of circle = 2╧Аr (Where тАШrтАЩ is the radius) So, 44 = 2 ├Ч (22/7) ├Ч r Or, r = 7 cm Therefore, radius of the circle is 7 cm.

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question