A circle and a square have the same perimeter Which one of the following is correct ........

Quantitative Aptitude (CDS) Mensuration 2D

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A circle and a square have the same perimeter. Which one of the following is correct?

Their areas are equal

The area of the circle is larger

The area of the square is $\pi$ /2 times area of circle

The area of the square is $\pi$ times area of circle

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Explanation:

Let side of square be x then perimeter of square = 4x
Perimeter of circle having radius r =2 $\pi$ r
According to question
2 $\pi$ r=4x
? r=4x/2 $\pi$ =2x/ $\pi$
Area of square =x²

Hence Area of circle is greater than area of square.
Hence option (2)