Question

GEOMETRIC PROBABILITY URGENT?

Answer 1

Find the area of circle and square:

$A_{circle}=\pi r^2=\pi\cdot 1^2=\pi,\\ A_{square}=\dfrac{d_1\cdot d_2}{2} =\dfrac{2\cdot 2}{2}=2$.

Use the geometric probability to determine the probability that randomly selected point will be at shaded square:

$Pr=\dfrac{A_{square}}{A_{circle}} =\dfrac{2}{\pi} =0.6369$.

In percent 0.6369 is 63.69% and rounded to the nearest tenth - 63.7%.

Answer: 63.7%.