Question 37051
I did this problem the following way:

The area of the circle is pi * Square root of 2 squared, or 2;  = 6.24.

The area of the square is 2*2 or 4

So, 6.24 - 4 will be the area of the outside the square, but inside the circle. (2.24)

divide this by the area of the circle (6.24), this should give you the probability

2.24 / 6.24 = 0.36 probability.

Cleomenius.