Answer:
[tex]32.65\%[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The probability that it will hit a point in the blue region is equal to divide the area of the blue ring by the total area of the target
step 1
Find the area of the blue ring
The radius of the blue ring is [tex](5+10+10)=25\ cm[/tex]
The radius of the red ring is [tex](5+10)=15\ cm[/tex]
The area of the blue ring is given by the formula
[tex]A=\pi(25^2-15^2)[/tex]
[tex]A=400\pi\ cm^2[/tex]
step 2
Find the total area of the target
The radius of the target is
[tex]70/2=35\ cm[/tex] ---> the radius is half the diameter
[tex]A=\pi (35^{2}]\\A=1,225\pi\ cm^{2}[/tex]
step 3
Find the probability
[tex]\frac{400\pi}{1,225\pi}= 0.3265[/tex]
Convert to percentage
Multiply by 100
[tex]0.3265(100)=32.65\%[/tex]
Answer:
0.490, ur welcome, that other guy was capping
Step-by-step explanation:
