ayanahunter02 ayanahunter02
  • 02-05-2019
  • Mathematics
contestada

Find the measure of the central angle of an arc if its length is 14pi and 12 is the radius.

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jdoe0001 jdoe0001
  • 02-05-2019

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ s=14\pi \\ r=12 \end{cases}\implies 14\pi =12\theta \implies \cfrac{14\pi }{12}=\theta \\\\\\ \stackrel{\textit{radians}}{\cfrac{7\pi }{6}}=\theta ~\hspace{10em}\stackrel{\textit{in degrees}}{210^o}[/tex]

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