Question

If the perimeter of a circle is equal to that of a square, then the ratio of their area is

Answer 1

Answer:

Radius of circle = r

Side of square = a

pi * 2r = 4a (equal perimeter)

pi*r = 2a

a = pi*r/2

Now area of circle = pi * r²

Area of square = a²

Ratio = (pi * r²) / (pi² * r²/4)

= 4 / pi