An artist wishes to paint a circular region on a square poster that is \(2\) feet on a side. If the area of the circular

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An artist wishes to paint a circular region on a square poster that is \(2\) feet on a side. If the area of the circular region is to be \(\dfrac12\) the area of the poster, what must be the radius of the circular region in feet?

(A) \(\dfrac1{\pi}\)

(B) \(\sqrt{\dfrac2{\pi}}\)

(C) \(1\)

(D) \(\dfrac1{\sqrt{\pi}}\)

(E) \(\dfrac{\pi}2\)

Answer: B

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