Difference between revisions of "2020 AMC 12B Problems/Problem 11"

Latest revision as of 17:55, 9 February 2020

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-==Problem==
+#REDIRECT [[2020 AMC 10B Problems/Problem 14]]
-As shown in the figure below, six semicircles lie in the interior of a regular hexagon with side length <math>2</math> so that the diameters of the semicircles coincide with the sides of the hexagon. What is the area of the shaded region––inside the hexagon but outside all of the semicircles?
-<math>\textbf{(A)}\ 6\sqrt3-3\pi \qquad\textbf{(B)}\ \frac{9\sqrt3}{2}-2\pi \qquad\textbf{(C)}\ \frac{3\sqrt3}{2}-\frac{\pi}{3} \qquad\textbf{(D)}\ 3\sqrt3-\pi \\ \qquad\textbf{(E)}\ \frac{9\sqrt3}{2}-\pi</math>
-==Solution==
-==See Also==
-{{AMC12 box|year=2020|ab=B|num-b=10|num-a=12}}
-{{MAA Notice}}