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For the following find the length of the arc and sector area:

pi = 3.14

Arc Length =

Sector Area =

For the following find the length of the arc and sector area: pi = 3.14 Arc Length-example-1

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\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=9\\ \theta =(2\pi )/(3) \end{cases}\implies s=(9)\cfrac{2\pi }{3}\implies s=(9)\cfrac{2(3.14) }{3}\implies s=18.84 \\\\[-0.35em] ~\dotfill


\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=9\\ \theta =(2\pi )/(3) \end{cases}\implies A=\cfrac{2\pi }{3}\cdot \cfrac{9^2}{2} \\\\\\ A=\cfrac{2(3.14) }{3}\cdot \cfrac{9^2}{2}\implies A=84.78

User Cristian Bregant
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