ANSWER:
15.71 inches
STEP-BY-STEP EXPLANATION:
Given:
Radius: 6 inches
Angle: 150°
We are asked to calculate the length of the long run. We can calculate this distance by multiplying the ratio of the angles by the circumference, just like this:
[tex]\begin{gathered} \text{arc }=\frac{2\pi\cdot r\cdot\theta}{360\degree} \\ \text{ we replacing} \\ \text{arc }=\frac{2\cdot3.1415\cdot6\cdot150\degree}{360\degree} \\ \text{arc }=15.7075\cong15.71\text{ in} \end{gathered}[/tex]
The distance traveled is 15.71 inches
