Answer:
64%
Step-by-step explanation:
Area of the square = L*W
A = 2*2 = 4
Area of the circle = [tex]\pi r^{2}[/tex]
If you cut the square in a diagonal you form a triangle. The base of the triangle is the diameter of the circle which you can divide by half to get the radius.
Pythagorean theorem is c=[tex]\sqrt{a^2+c^2}[/tex]
c=[tex]\sqrt{2^2+2^2}[/tex] = [tex]\sqrt{8}[/tex] or simplified is [tex]2\sqrt{2}[/tex] .. This is the diameter now divide by half to get the radius. Which is [tex]\sqrt{2}[/tex].
A=[tex]\pi (\sqrt{2} )^{2}[/tex] which will simply to A=[tex]2\pi[/tex]
Now just set up the probability as the area of the square over the area of the circle.
[tex](4/2\pi)*100= 63.6[/tex]
