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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 1/2 the area of the poster, what must be the radius of the circular region in feet?
A. \(\dfrac{1}{\pi}\)
B. \(\sqrt{\dfrac{2}{\pi}}\)
C. \(1\)
D. \(\dfrac{1}{\sqrt{\pi}}\)
E. \(\dfrac{\pi}{2}\)
OA B
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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...
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Solution:AAPL wrote: ↑Tue Nov 10, 2020 6:19 pmOfficial Guide
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. \(\dfrac{1}{\pi}\)
B. \(\sqrt{\dfrac{2}{\pi}}\)
C. \(1\)
D. \(\dfrac{1}{\sqrt{\pi}}\)
E. \(\dfrac{\pi}{2}\)
OA B
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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