Question

Suppose the tip of a minute hand is 2 in from the center of the clock. Determine the distance traveled by the tip of the minute hand in 5.5 hrs. Give an exact answer.

Please explain the process if possible.

Answer 1

if you check the picture below, you'll see how big is the angle the minute hand traveled
now
`\bf s=r\theta\qquad \begin{cases} s=\textit{arc's length}\\ r=radius\\ \theta=\textit{angle in radians}\\ --------------\\ r=2\\ \theta=11\pi \end{cases}`

"s" is how much the minute hand traveled