A simple dartboard has 3 areas. The main board has a radius of 8 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 1 inch. What is the probability of a random dart landing inside the bullseye? Round to the nearest thousandth(Hint: use A= pi r^2). Please show work. I would greatly appreciate the help on this one.
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You need to calculate the area of each circle
circle 1 = pi x 8^2 = 64 pi inches
circle 2 = pi x 5^2 = 25 pi inches
circle 3 = pi x 1^2 = pi inches
chance of landing in bullseye = area of bullseye/total area = pi/64 pi = 1/64 = 0.02 to the nearest hundreth
circle 1 = pi x 8^2 = 64 pi inches
circle 2 = pi x 5^2 = 25 pi inches
circle 3 = pi x 1^2 = pi inches
chance of landing in bullseye = area of bullseye/total area = pi/64 pi = 1/64 = 0.02 to the nearest hundreth
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Pr = area of the bull eye / area of the main board = 1/64