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Find the angle of this sector.
on the image ​

Find the angle of this sector. on the image ​-example-1
User Rcapote
by
8.6k points

2 Answers

2 votes


\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=15\\ r=8 \end{cases}\implies 15=\cfrac{\theta \pi (8)}{180}\implies 15=\cfrac{2\pi \theta }{45} \\\\\\ 675=2\pi \theta \implies \cfrac{657}{2\pi }=\theta \implies 104.56^o\approx \theta =a

User Jturney
by
8.1k points
6 votes

Answer:


\alpha =107.4^(o)

Explanation:


15=(\pi (8)\alpha )/(180)


\alpha =((15)(180))/(8\pi ) =(2700)/(25.13)=107.4

Hope this helps

User Narek Malkhasyan
by
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