Answer:
The probability is 0.32
Step-by-step explanation:
we know that
The probability that a randomly selected point within the circle falls in the red shaded area is equal to divide the area of the red shaded area by the area of the circle
step 1
Find the area of the circle
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=4\ cm\\\pi=3.14[/tex]
substitute
[tex]A=(3.14)(4)^{2}=50.24\ cm^2[/tex]
step 2
Find the area of the red shaded area (triangle)
The area of red triangle is
[tex]A=\frac{1}{2}(b)(h)[/tex]
we have
[tex]b=2r=2(4)=8\ cm\\h=r=4\ cm[/tex]
substitute
[tex]A=\frac{1}{2}(8)(4)=16\ cm^2[/tex]
step 3
Find the probability
[tex]\frac{16}{50.24}= 0.32[/tex]
