Answer
The probability that a randomly chosen point in the figure lies in the shaded region in percent form is
The probability that a randomly chosen point in the figure lies in the shaded region in fraction form is
Step-by-step explanation
To find the probability that a randomly chosen point in the figure lies in the shaded region, you need to first find the area of the shape (circle):
The radius, r of the shape = 4
The next step is to find the area of the shaded region.
The radius of the shaded region = D/2 = 4/2 = 2
Therefore, the probability that a randomly chosen point in the figure lies in the shaded region in fraction form is
Also, the probability that a randomly chosen point in the figure lies in the shaded region in percent form is