Question

I need help solving this practice, I am having trouble with itI have attempted this previously and I got 5.5 as the answer, of course, not sure if I am correct

Answer 1

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;

$\begin{gathered} \frac{3}{8}\times x=35.9 \\ \frac{3x}{8}=35.9 \\ 3x=8\times35.9 \\ x=\frac{287.2}{3} \\ x=95.7333 \end{gathered}$

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

$\text{Area}=\pi r^2$

Therefore;

$\begin{gathered} \text{Area of the spinner(circle)=}\pi r^2=95.7333 \\ r^2=\frac{95.7333}{\pi} \\ r=\sqrt[]{\frac{95.7333}{\pi}} \\ r=5.5 \end{gathered}$

Answer: 5.5 inches