Answer :
Given:-
Find the probability that a point chosen at random inside the square is not inside the
circle.
To find:-
The required probability.
So now we find the area of the square using the formula,
[tex]\begin{gathered} A=a^2 \\ A=10^2 \\ A=100 \end{gathered}[/tex]So the area of the square is 100.
Now we find the area of the circle using the formula,
[tex]A=\pi r^2[/tex]Since the side length is 10. so the radius of the circle is 5. Substituting the known values. we get,
[tex]\begin{gathered} A=\pi r^2 \\ A=\frac{22}{7}\times5\times5 \\ A=78.57 \end{gathered}[/tex]So now we substract the area of the square and area of circle to find the area of the shaded region. so we get,
[tex]A=100-78.57=21.43[/tex]So the probability that a point chosen ar randon inside the square is not inside the circle has 21.43 chances.