The perimeter of a square with side length x units is equal to the circumference of a circle with radius 2 units. What is the value of x? Express your answer as a decimal to the nearest hundredth.
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just a quick solution for anyone else confused by the question : )
the circumfrence of a circle with a radius of \(2\) is \(2\pi r = 4\pi\). the perimeter of a square with side length \(x\) would be \(4x\), so we have
\(\begin{align*} 4\pi &= 4x \\ x &= \boxed{\pi}. \end{align*}\)