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Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth.
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Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth.

Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth-example-1
User Takao
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8 votes

Check the picture below.

so if y = 2, then 2y = 4, thus


\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{√(3)}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4√(3)\implies A\approx 1.45

Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth-example-1
User Mgottschild
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