Garret throws a dart at a circular dart board. The dart board has a radius of 18 inches and the bulls 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 bulls eye? Round your answer to the nearest tenth
The area of the entire dart board can be calculated using the formula for the area of a circle: A = πr^2
A = π(18)^2
A = π(324)
A = 1017.88 square inches
The area of the bulls eye can be calculated using the same formula: A = πr^2
A = π(4)^2
A = π(16)
A = 50.27 square inches
Therefore, the probability of hitting the bulls eye is the ratio of the area of the bulls eye to the area of the entire dart board:
P = (50.27 / 1017.88) = 0.0494
Rounded to the nearest tenth, the probability is 0.1 or 10%.