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## Ratio and Proportion

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### Please briefly explain why you feel this question should be reported .

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

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Campus Interview
3 years
4 Answers
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## Answers ( 4 )

## Please briefly explain why you feel this answer should be reported .

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

## Please briefly explain why you feel this answer should be reported .

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

## Please briefly explain why you feel this answer should be reported .

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

## Please briefly explain why you feel this answer should be reported .

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