nkortiz12098 nkortiz12098
  • 04-06-2019
  • Mathematics
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What is the measure of the sector shaded above?

What is the measure of the sector shaded above class=

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jdoe0001 jdoe0001
  • 04-06-2019

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&6\\ \theta =&87 \end{cases}\implies A=\cfrac{\pi (87)(6)^2}{360}\implies A=\cfrac{87\pi }{10} \\\\\\ A\approx 27.332\implies \stackrel{\textit{rounded up}}{A=27.3}[/tex]

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