Respuesta :

Answer:

[tex]r^2=\dfrac{A}{4\pi}[/tex]

Step-by-step explanation:

The given equation is A=4 πr².

We need to solve the above equation for r².

We have,

A=4πr²

Dividing both sides by 4π, we get :

[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]

Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].