3 years ago

Please answer and show your work

Mathematics

1 answer:

jonny [76]3 years ago

7 0

Answer:

A. 4

B. y = x + 4

Step-by-step explanation:

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In a circle, a 90 degree sector has area of 36pi ftsqd. what is the radius of the circle?

lukranit [14]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =90\\
A=36\pi 
\end{cases}\implies 36\pi =\cfrac{90\pi r^2}{360}
\\\\\\
\cfrac{36\pi }{90\pi }=\cfrac{r^2}{360}\implies \cfrac{2}{5}=\cfrac{r^2}{360}\implies \cfrac{360\cdot 2}{5}=r^2\implies 144=r^2
\\\\\\
\sqrt{144}=r\implies 12=r$