Ratio and Proportion

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What will be the ratio of perimeters of a square and a circle, if their areas are equal?

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Campus Interview Koutheesh (Admin) 2 years 4 Answers 1148 views 0

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    2/((pi)^(1/2))

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    Let ‘a’be the side of square and ‘R’be the radius of circle.
    Area of the square = a^2
    Area of the circle = πR^2
    Both the areas are equal.
    Hence a^2=πR^2
    a=√π*R
    Ratio of parameters=4a/2πR
    =4√πR/2πR
    =2/√π

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    let the radius be r and side of a square be a.
    he asked to find the ratio of perimeter of square to circle,
    so, 2*pi*r=4a
    a=1/2 *pi*r
    he said that their areas are equal
    therefore, pi*r^2=a^2
    4: pi
    4: 22/7
    28: 22
    ans: 14:11

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    radius of the circle be r and side of the square be a.
    , acc to question, 2πr=4a=>2πr4=πr22πr=4a=>2πr4=πr2 Now, ratio of their areas,
    πr2(πr2)2πr2(πr2)2
    =πr2×4π2r2=πr2×4π2r2
    =1411=1411
    =πr2:a2=πr2:a2
    =14:11

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