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2018 AMC 10B Problem 12

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2018 AMC 10B Problem 12AMC 10 Step by Step

Name: Date: September 13, 2026

Triangle Centers & Cevians · difficulty 3 of 5 · about 3 min · position P11-15

Line segment $\overline{AB}$ is a diameter of a circle with $AB=24$ . Point $C$ , not equal to $A$ or $B$ , lies on the circle. As point $C$ moves around the circle, the centroid (center of mass) of $\triangle{ABC}$ traces out a closed curve missing two points. To the nearest positive integer, what is the area of the region bounded by this curve?

A)
$25$
B)
$38$
C)
$50$
D)
$63$
E)
$75$

2018 AMC 10B Problem 12

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