Question

How many inches does the tip of the minute hand travel?

Answer 1

15.71 inches

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:

`\begin{gathered} \text{arc }=(2\pi\cdot r\cdot\theta)/(360\degree) \\ \text{ we replacing} \\ \text{arc }=(2\cdot3.1415\cdot6\cdot150\degree)/(360\degree) \\ \text{arc }=15.7075\cong15.71\text{ in} \end{gathered}`

The distance traveled is 15.71 inches