If a dart board was thrown randomly at the dartboard shown below, what is the probability that it will land in the bull’s-eye? The radius of the bull’s-eye is 2 cm, the radius of the middle circle is 8 cm, and the radius of the outer circle is 14cm.

Answer:
Correct option: C -> 2%
Step-by-step explanation:
To find this probability we just need to divide the area of the bull's-eye circle by the total area of the outer circle.
The area of a circle is given by the equation:
[tex]area = \pi * radius^2[/tex]
The outer radius is 14 cm, so:
[tex]outer\ area = \pi * 14^2 = 196\pi\ cm^2[/tex]
The inner radius is 2 cm, so:
[tex]inner\ area = \pi * 2^2 = 4\pi\ cm^2[/tex]
So the probability is:
[tex]inner\ area / outer\ area = 4\pi / 196\pi = 0.02 = 2\%[/tex]
Correct option: C