Free GMAT Practice Questions

Question 1 of 1
ID: GMAT-PS-8
Section: Quantitative Reasoning - Problem Solving
Topics: Geometry; Circle and Square
Difficulty level: Challenging

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If from a circle with an area of $\pi$ sq. cm., a square with maximum possible area was cut, and then four circles with maximum possible area were cut, what is the area of the remaining circle?

A$\pi -\left[1+\frac{\pi }{2}\left(3-2\sqrt{2}\right)\right]$
B$\pi -\left[2+\frac{\pi }{8}\left(3-2\sqrt{2}\right)\right]$
C$\pi -\left[2+\frac{\pi }{2}\left(3-2\sqrt{2}\right)\right]$
D$\pi -\left[2+2\pi \left(3-2\sqrt{2}\right)\right]$
E$2-\left[\pi +\frac{\pi }{2}\left(3-2\sqrt{2}\right)\right]$

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