totallyfakeemia totallyfakeemia
  • 25-04-2017
  • Mathematics
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If a door that is 36 inches in width opens to an angle of 140 , what is the length of the arc created by the door?

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jdoe0001 jdoe0001
  • 25-04-2017
so hmm check the picture below

[tex]\bf s=\cfrac{r\pi \theta}{180}\qquad \begin{cases} s=\textit{length of the arc}\\ \theta=\textit{central angle in degrees}\\ r=radius\\ ----------\\ r=36\\ \theta=140 \end{cases}\implies s=\cfrac{36\cdot \pi \cdot 140}{180}[/tex]
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