Draw square with same area as a given circle

from math import pi
from math import sqrt
import turtle

radius = int(raw_input("What radius would you like the circle to be(The Bigger the better)? "))
turtle.penup()
turtle.color("red")
turtle.sety(-radius)
turtle.pendown()
turtle.circle(radius)
areaofcircle = (radius*radius) * pi
sideofsquare = sqrt(areaofcircle)
print sideofsquare
turtle.color("blue")
halfsquare = sideofsquare/2
turtle.penup()
turtle.setx(0)
turtle.sety(-halfsquare)
turtle.pendown()
turtle.forward(halfsquare)
turtle.left(90)
for i in range(4):
    turtle.forward(sideofsquare)
    turtle.left(90)

turtle.write("side of square is %s" %(sideofsquare))