Question

A boy a swinging a dead rat at the end of a rope in a circle over his head in a circular motion if the rope is 5 feet long find a distance of the arc that the rat passes when the angle of rotation is 40°

Answer 1

so hmm notice the picture below

that's the central angle, and radius

thus
`\bf s=\cfrac{r\pi \theta}{180}\qquad \begin{cases} \theta=\textit{central angle in degrees}\\ r=radius\\ s=\textit{length of the arc} \end{cases}`