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

What is the area of a 30 degree sector of a circle

Ответ:

johnb9163

14.03.2022

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

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

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Ответ:

heavenwagner

18.10.2021

Mathematics

93 m

Step-by-step explanation:

given that the scale is 1:1000

this means that 1 cm of the model = 1000 cm in the actual statue

it is given that the model is 9.3 cm tall,

this means that the actual statue is,

= 9.3 x 1000

= 9300 cm

= 93 m tall

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

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