Answer:
Option (d) i.e. 89%
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
Now, area of inner red circle (radius = 2 in)
= [tex]\pi(2)^{2} = 4\pi[/tex]
And, area of the dartboard (radius = 6 in)
= [tex]\pi(6)^{2} = 36\pi[/tex]
⇒ The area of white part in the dartboard = Area of entire dartboard - inner red circle area = 36π - 4π = 32π
Now, Probability = [tex]=\frac{No.-of-possible-outcomes}{Total-outcomes}[/tex]
=[tex]=\frac{32\pi }{36\pi }[/tex]
= [tex]= \frac{4*8}{4*9}[/tex]
= [tex]=\frac{8}{9}[/tex]
= 88.88% ≈ 89%
