Step-by-step explanation
Let the total area of the spinner be x.
Two of the sectors of the spinner indicate the player should not move forward and has a corresponding value of 35.9 inches.
Therefore we can say;

Recall that the combination of the sectors would give a circle. Also, the area of a circle is given as;

Therefore;
![\begin{gathered} \text{Area of the spinner(circle)=}\pi r^2=95.7333 \\ r^2=(95.7333)/(\pi) \\ r=\sqrt[]{(95.7333)/(\pi)} \\ r=5.5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/onbe2j89fnhvx4wpzwmx8wzsze5l0ahs9j.png)
Answer: 5.5 inches