The probability that the dart will hit in area B is 3/4
How to determine the probability?
The given parameters are:
Area A = 4 inches (radius)
Dartboard = 8 inches (radius)
The area of area A is:
A = πr^2
This gives
A = π * 4^2
A = 16π
The area of the dartboard is:
Dartboard = πR^2
This gives
Dartboard = π * (4 + 4)^2
Dartboard = 64π
So, the area B is:
B = Dartboard - A
This gives
B = 64π - 16π
Evaluate the difference
B = 48π
The probability that the dart will hit in area B is:
P = B/Dashborad
This gives
P = 48π/64π
Evaluate the quotient
P = 3/4
Hence, the probability that the dart will hit in area B is 3/4
Read more about probability at:
https://brainly.com/question/251701
