Question

the area of a square is same as the area of a circle . the ratio of their parameters is

Answer 1

Let the radius of the circle be rr and the side of the square be a.

Then according to the question, πr2=a2=>a=rπ−−√πr2=a2=>a=rπ

(i) Now , Ratio of their perimeters =2πr4a=2πr4a

Ratio of their perimeters =πr2a=πr2a

=πr2rπ−−√=πr2rπ

=π−−√2=π2

Ratio of their perimeters =π−−√:2=π:2