Respuesta :

redfirearne
[tex]A= \frac{ \pi r^{2} S}{360} [/tex]
[tex]360A= \pi r^{2} S[/tex]
[tex] \frac{360A}{ \pi r^{2} } = S [/tex]

So the answer is D. Hope this helps :)

Answer:  Fourth option is correct.

Step-by-step explanation:

Since we have given

S be the angle of sector.

r be the radius of the sector.

A be the area of the sector .

Now, we have given the equation:

[tex]A=\frac{\pi r^2S}{360}[/tex]

Now, we want to solve it for 'S'.

So, it will become,

[tex]A=\frac{\pi r^2S}{360}\\\\360A=\pi r^2S\\\\\frac{360A}{\pi r^2}=S[/tex]

Hence, Fourth option is correct.

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