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.

Question

A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%

Answer 1

To calculate the probability that the dart will hit the bull's eye, we need to compare the areas of the bull's eye and the entire dart board.

Area of the bull's eye = π(4^2) = 16π square inches
Area of the dart board = π(18^2) = 324π square inches

So, the probability that the dart will hit the bull's eye is:
(16π)/(324π) = 16/324 = 0.049 = 4.9%

Therefore, the correct answer is:
B. 4.9%