Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2013 Question 79

Math Olympiad Vault · MathNet 2013

Question 79

Into a square with the side of length $2$ we draw two semicircles whose diameters are the sides of the square as shown in the figure. What is the area of the unshaded part of the square?
Question illustration
(A) $\frac{\pi}{2}$
(B) $2$
(C) $\frac{3}{2} + \frac{\pi}{4}$
(D) $\frac{3\pi}{4} - \frac{1}{2}$
(E) $\frac{3\pi}{4}$