A point P is randomly selected from the square region with vertices at (2,2), (2,0), (0,2), (0,0). What is the probability that P is within one unit of the origin? Express your answer as a common fraction in terms of pi.

The square has aside of 2....it's area = 2^2 = 4

We can construct a circle wih a radius of 1 centered at the origin

The area of the circle that is inside the square = pi / 4

The probability is : area inside the quarter circle / area of the square = pi/4 / 4 = (1/16) pi