Answer:
Probability that the point is in the shaded circular region = 0.79
Step-by-step explanation:
The area of a square = l²
Each side of the square, l = 8 in
Area of the square = 8²
Area of the square region = 64 in²
The area of the circular region is given by the formula:
Area of the circle = πr²
Radius of the circle, r = 4 in
π = 3.14
Area of the circular region = 3.14 x 4²
Area of the circular region = 3.14 x 16
Area of the circular region = 50.24 in²
The circular region is the shaded region
The square region is the total region
Probability that point is in the shaded region =
(Area of the shaded region)/(Total area)
Probability that point is in the shaded region = 50.24/64
Probability that point is in the shaded region = 0.79