Question

The area of circle with radius 'r' is the same as the area of a square of side 'a'. Ratio of 'r' to 'a' is:

Answer 1

area of a circle = area of a square
pi r^2 = a^2
r^2/a^2 = 1/pi
(r/a)^2 = 1/pi
r/a = sqrt(1/pi) = sqrt(1)/sqrt(pi) = 1/sqrt(pi)

Answer 2

if you want rationalize it, times by sqrt(pi)/sqrt(pi). get
r/a = 1/sqrt(pi) * sqrt(pi)/sqrt(pi)
r/a = sqrt(pi)/(pi)