Question

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. What is the probability that you score 8 points? Round your answer to the nearest hundredth of a percent.

Answer 1

19.63%

Explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to
`A=\pi*r^2`, is
`25\pi` cm squared

The area of the whole square board is one side squared: 20 squared = 400 cm squared

The probability is therefore equal to
`25\pi/400 = \pi/16=0.19634=19.63%`%