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

QUESTION POSTED AT 29/05/2020 - 12:56 AM

Answered by admin AT 29/05/2020 - 12:56 AM

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
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QUESTION POSTED AT 01/06/2020 - 04:46 PM