4 years ago

Please answer this question !! BRAINLIEST !!

Mathematics

1 answer:

Misha Larkins [42]4 years ago

8 0

Cos inverse0.7813

=38.6°

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What is the area of a 30 degree sector of a circle with area 96 pi meters ^2?

iren2701 [21]

$\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=96\pi 
\end{cases}\implies 96\pi =\pi r^2
\\\\\\
\cfrac{96\underline{\pi }}{\underline{\pi }}=r^2\implies 96=r^2\implies \boxed{\sqrt{96}=r}\\\\
-------------------------------$

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}~~
\begin{cases}
r=radius\\
\theta = angle~in\\
\qquad degrees\\
------\\
\theta =30\\
r=\boxed{\sqrt{96}}
\end{cases}\implies A=\cfrac{(30)(\pi )(\sqrt{96})^2}{360}
\\\\\\
A=\cfrac{(30)(\pi )(96)}{360}\implies A=8\pi$

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3 years ago

HELP ME PLEASE AND THANKS SO MUCH

Zinaida [17]

Answer:

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Step-by-step explanation:

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