stanleykelsey stanleykelsey
  • 14-09-2022
  • Mathematics
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A circle has a radius of 7 inches. Find the arc length intercepted by a central angle of 280˚.

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jdoe0001 jdoe0001
  • 14-09-2022

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =280 \end{cases}\implies s=\cfrac{(280)\pi (7)}{180}\implies s=\cfrac{98\pi }{9}\implies s\approx 34.21[/tex]

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