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Question

If the perimeter of a circle is equal to that of square, then the ratio of their areas is:
(A) 22:7
(B) 14:11
(C) 7:22
(D) 11:14

 


Solution

The correct option is B: 14:11

Let the radius of the circle be r and side of square be a.
According to the given condition,
The perimeter of a circle = Perimeter of a square   [Given]
2πr=4a

a=πr2(i)

Now, Area of circleArea of square=πr2(a)2

=πr2(πr2)2    [Using eq.(i)]


=πr2π2r24

=4π

=4227

=2822

=1411 


Mathematics

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