Find the radian measure of the central angle of a circle of radius 6 yards that intercepts an arc of length 8 yards.

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luisrgloria50 luisrgloria50

01-02-2022
Mathematics

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Find the radian measure of the central angle of a circle of radius 6 yards that intercepts an arc of length 8 yards.

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jdoe0001 jdoe0001 · Answer 1 · 2022-02-02T00:23:18+01:00

jdoe0001 jdoe0001

02-02-2022

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ s=8 \end{cases}\implies 8=6\theta \implies \cfrac{8}{6}=\theta \implies \stackrel{rad}{\cfrac{4}{3}}=\theta[/tex]

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