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

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;

`\begin{gathered} (3)/(8)* x=35.9 \\ (3x)/(8)=35.9 \\ 3x=8*35.9 \\ x=(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=(95.7333)/(\pi) \\ r=\sqrt[]{(95.7333)/(\pi)} \\ r=5.5 \end{gathered}`

Answer: 5.5 inches