Difference between revisions of "2018 AMC 12B Problems/Problem 8"

Latest revision as of 13:21, 5 June 2023

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-==Problem==
+#REDIRECT [[2018_AMC_10B_Problems/Problem_12]]
-Line segment <math>\overline{AB}</math> is a diameter of a circle with <math>AB</math> = 24. Point <math>C</math>, not equal to <math>A</math> or <math>B</math>, lies on the circle. As point <math>C</math> moves around the circle, the centroid (center of mass) of <math>\Delta ABC</math> traces out a closed curve missing two points. To the nearest positive integer, what is the area of the region bounded by the curve?
-<math>\textbf{(A)}  25 \qquad \textbf{(B)}  38 \qquad \textbf{(C)}  50 \qquad \textbf{(D)}  63 \qquad \textbf{(E)}  75</math>