Question

If she solved this equation for s which of the following equations did she write

Answer 1

Step-by-step explanation

What we basically need to do is solving the following equation for S:

`A=(\pi r^2S)/(360)`

This means that we must rewrite it in the form "S = something". We can start by multiplying both sides of the equation by 360:

`\begin{gathered} A\cdot360=(\pi r^(2)S)/(360)\cdot360 \\ 360A=\pi r^2S \end{gathered}`

Then we can divide both sides by pi:

`\begin{gathered} (360A)/(\pi)=(\pi r^2S)/(\pi) \\ r^2S=(360A)/(\pi) \end{gathered}`

And then we divide both sides by the square of r:

`\begin{gathered} (r^2S)/(r^2)=((360A)/(\pi))/(r^2) \\ S=(360A)/(\pi r^2) \end{gathered}`