Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 1 and the ra
Mathematics
madimo1966
Question
Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 1 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.
2 Answer

1. User Answers Kobika
this must double your chances so if i round the nearest whole number would be 8 any questions? 
2. User Answers windyyork
Answer: The probability of throwing a dart and hitting the white part of the board is 1.
Stepbystep explanation:
Since we have given that
Radius of shaded center circle = 1
So, Area of shaded center circle is given by
[tex]\pi r^2\\\\=\pi \times 1^2\\\\=\pi[/tex]
Radius of entire dartboard = 4
Area of entire dartboard is given by
[tex]\pi\times 4^2\\\\=16\pi[/tex]
Area of white part is given by
[tex]16\pi\pi\\\\=15\pi[/tex]
So, Probability of throwing a dart and hitting the white part of the board is given by
[tex]\dfrac{15\pi}{16\pi}\\\\\\=\dfrac{15}{16}=0.9375\approx 1[/tex]
Hence, the probability of throwing a dart and hitting the white part of the board is 1.