Quote:
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 1/2 the area of the poster, what must be the radius of the circular region in feet?
(A) \(\frac{1}{\pi}\)
(B) \(\sqrt{\frac{2}{\pi}}\)
(C) 1
(D) \(\frac{1}{\sqrt{\pi}}\)
(E) \(\frac{\pi}{2}\)
The area of the poster is 4, so the area of the circle is 2. Thus:
πr^2 = 2
r^2 = 2/π
r = √(2/π)
Answer: B
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