Answer:
63.7%
Step-by-step explanation:
If a point is chosen from the circle at random, the probability it came from the shaded region is the ratio of the area of the shaded region (square) to the area of the circle.
area of square = (1/2)(diagonal)^2 = (1/2)·(2 in)^2 = 2 in^2
area of circle = πr^2 = π·(1 in)^2 = π in^2
Fraction of circle that is shaded = (square area)/(circle area) = 2/π ≈ 63.7%
