Question

Garrett throws dart at a circular dart board. the dart board has a radius of 16 inches, and the bull's eye in the center of the dart has a radius of 6 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull's eye?

Answer 1

@SolomonZelman

Answer 2

i got 14.1% is that right?

Answer 3

I get around 16.3% but that isn't one of my answer choices

Answer 4

The probability is found by dividing the area of the bull's eye by the total area of the dart board:
\[\large P(bull's\ eye)=\frac{\pi\ 6^{2}}{\pi\ 16^{2}}=\frac{36}{256}=0.1406\]
Therefore your answer of 14.1% is close.