Question

solve for \\(r\\). express your answer in simplest and exact form.

\\a = 2\pi r^2\text{ for } r > 0\\

\\(r = \\)

Explanation:

Isolate the variable term

$$ \frac{A}{2\pi} = r^2 $$

Solve for r using the positive root

$$ r = \sqrt{\frac{A}{2\pi}} $$

Answer:

Solve for \(r\). Express your answer in simplest and exact form.

\(A = 2\pi r^2\) for \(r > 0\)

\(r =\) <blank>\(\sqrt{\frac{A}{2\pi}}\)</blank>