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Imnickvaughn · Answer 1 · 2023-03-02T22:22:28+0000

Data:

r= 3.5cm

α= 5π/6

To find the area of a sector in a circle you can use the next formula:

$A_s=\pi\cdot r^2\cdot(\alpha)/(2\cdot\pi)$ Then, the area of the given sector is: 16 square centimeters
$\begin{gathered} A=\pi\cdot(3.5\operatorname{cm})^2\cdot((5\pi)/(6))/(2\cdot\pi) \\ \\ A=12.25\pi\cdot cm^2\cdot(5\cdot\pi)/(12\cdot\pi) \\ \\ A=(61.25\pi cm^2)/(12)\approx16.0\operatorname{cm}^2 \end{gathered}$

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