Chapter CSB1.13, Problem 11E

To determine

To calculate: draw a dartboard

Answer to Problem 11E

  

Explanation of Solution

Given information: the probability of a dart landing in the shaded area is $60\%$

Calculation:

Shaded area covers $60\%$ of a total area

Lets say, total area of a dart board is, $\pi r^2$ , where $r$ is the radius of the dart board.

Now, the $60\%$ area is covered by shaded part,

  $\therefore$ Area of shaded portion $=\pi r_1{}^2=0.6\pi r_{}{}^2$

  $\therefore r_1=0.77r$

From these proportions, a dartboard can be drawn as follows,