Question

Suppose that all the points on the circular dartboard shown are equally likely to be hit by a dart. if the radius of the red circle i 2 in. and the radius of the entire dartboard is 6 in, what is the probability of throwing a dart and hitting the white part of the board

Answer 1

Answer: 89% is correct!

Explanation:

Answer 2

this equals the the area of white part / area of the entire dartboard

area of the entire board = pi * 6^2 = 36pi

area of white part = 36pi - 2^2*pi = 32pi

do required probability = 32pi / 36pi = 0.889 or 88.9 % (to nearest tenth)


or as a fraction it is 8/9