lpaigeharris lpaigeharris

26-07-2022
Mathematics

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8.
Find the arc length of a central angle of 7pi/3 in a circle whose radius is
3inches

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jdoe0001 jdoe0001

26-07-2022

[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in[/tex]

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