brynkwhite brynkwhite

17-04-2022
Mathematics

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The radius of the circle with a central angle of 2 radians that intercepts an arc with length 99 cm is
cm

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jdoe0001 jdoe0001

17-04-2022

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]

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