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°

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04-05-2017
Mathematics

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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°

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jdoe0001 jdoe0001 · Answer 1 · 2017-05-04T00:48:48+02:00

jdoe0001 jdoe0001

04-05-2017

so hmm notice the picture below

that's the central angle, and radius

thus [tex]\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}[/tex]

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