Statistics Solutions

(See Solution) Figure 6.6.14 shows an arc of the unit circle x^2+y^2=1 with central angle 2 α and height h=1- cos α. Show that the centroid of

Question: Figure 6.6.14 shows an arc of the unit circle \(x^{2}+y^{2}=1\) with central angle \(2 \alpha\) and height \(h=1-\cos \alpha\). Show that the centroid of this arc is the point

\[\left(0, \frac{\sin \alpha}{\alpha}\right) .\]

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