Garrett throws a dart at a circular dart board. The dart board has a radius of 18 inches, and the bull's eye in the center of

the dart board has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit
the bull's eye? Round your answer to the nearest tenth, if necessary.

(1 point)

20.3%

4.9%

22.2%

4.5%

1 answer

To find the probability of hitting the bull's eye, we need to calculate the ratio of the area of the bull's eye to the total area of the dart board.

The area of the bull's eye is π * (4^2) = 16π square inches
The total area of the dart board is π * (18^2) = 324π square inches

So, the probability of hitting the bull's eye is 16π / 324π = 0.049 = 4.9%

Therefore, the correct answer is 4.9%.