Essay; show all work. A simple dartboard has three areas… the main board has a radius of 8 inches, there is a circle with a radius of 6 inches, and the bullseye has a radius of 4 inches. What is the probability of a random dart landing inside the bullseye?

Question

anonymous · Answer

from what i am reading onling you
Pi * 4(2)
________
pi* 8(2)  which equals 16/64=1/4 or 25% 
but how are they doing this?

anonymous · Answer

is there a formula i cannot find?

unklerhaukus · Answer

You might have to assume that the dart its the board ,  the sum of probabilities is 1,
i guess the probability of landing inside one area is proportional to its relative area on the whole board

anonymous · Answer

the answer seems to be correct, but what i dont understand is how does
pi *4(2) squared
------------
pi * 8(2) squared = 16/64=1/4
wouldnt you multiply pi to them insteasd of just squaring 4 and 8?

unklerhaukus · Answer

the area of a circle 
$$A=\pi r^2$$
for a radius of 4
$$A_{Bulls Eye}=\pi(4)^2=16\pi$$
for a radius of 8
$$A_{Board}=\pi(8)^2=64\pi$$
the ratio of the bulls eye to the total board is 
$$\frac{A_{Bulls Eye}}{A_{board}}=\frac{16\pi}{64\pi}=\frac{ 1}{ 4}$$

unklerhaukus · Answer

Are you are those measurements are of the radius? a one in four chance of bulls eye seems too large to me , perhaps the measurements are of the diameter?

anonymous · Answer

Essay; show all work. A simple dartboard has three areas… the main board has a radius of 8 inches, there is a circle with a radius of 6 inches, and the bullseye has a radius of 4 inches. What is the probability of a random dart landing inside the bullseye?


 
Round to the nearest thousandth. (Hint: Use A=pir2

unklerhaukus · Answer

ok so it just an easy dart board with a huge bulls eye

anonymous · Answer

Must be lol but thank you so much for your help!! its so appreciated!