Respuesta :

Answer:

[tex]\pi = \frac{A}{2r^2 + 2rh}[/tex]

Step-by-step explanation:

First, we need to isolate [tex]\pi[/tex] by taking it common from both terms on the right:

[tex]A=2\pi r^2 + 2\pi rh\\A=\pi (2r^2 + 2rh)[/tex]

Now, since we want [tex]\pi[/tex] in terms of the other variables, we can divide the left hand side (A) by whatever is multiplied with [tex]\pi[/tex] on the right hand side. Then we will have an expression for [tex]\pi[/tex]. Shown below:

[tex]A=\pi (2r^2 + 2rh)\\\pi = \frac{A}{2r^2 + 2rh}[/tex]

This is the xpression for [tex]\pi[/tex]

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