The centroid C shown in figure 6.6.14(shows an upside down triangle centered on the y axis topped the an arc "h" high) appears to lie about one-third of the way from the arc to the horizontal chord joining its endpoints. Prove that this is indeed so for small values of "alpha" by showing that lim alpha>0 (d/h)=1/3, where d denotes the distance from the centroid C to the highest point (0,1) of the circular arc.

## This question was asked on Apr 27, 2010.

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