To find:
The probability that the dart lands in the shaded circular region.
Solution:
It is given that the side of the cardboard is 16 inches and the radius of the circle is 6 inches..
The probability that the dart lands in the shaded circular region is:

It is known that the area of the circle is:

and the area of the square is:

So, the probability is:

So, the probability to nearest hundredth is 0.44.