Answer:
78.8 %
Explanation:
From the question,
Area of the square = L²
A = L²
Where L = Length of the square.
From the diagram,
L = 4 in
Therefore,
A = 4²
A = 16 in².
Also,
Area of the circle (A') = πr²
Where r = radius of the circle.
Given: r = 2 in
Therefore,
A' = 22/7(2²)
A = 12.6 in²
Hence,
The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A
Pr = 12.6/16
Pr = 0.7875
Pr(%) = 78.75
Pr(%) = 78.8 %