Question

if the perimeter of a circle is equal to that of square then the ratio of their areas is

Answer 1

Let's assume radius of circle=r and each side of square=l.
Acc. to ques. Perimeter of circle=perimeter of square, then
2πr=4l
r=2l/π,
Ratio of area of circle to that of square will be=
πr²/l²=π4l²/π²×l²
So, answer will be 4/π, i.e. 1.27.