Centroid of a quarter-circular area

Geometry Level 3

Determine the centroid of a quarter-circular area of radius r. Consider a Cartesian axis with origin in the center of the circle.

x c = y c = r 3 π x_c=y_c=\frac{r}{3\pi} x c = y c = 2 r 3 π x_c=y_c=\frac{2r}{3\pi} x c = y c = 4 r 3 π x_c=y_c=\frac{4r}{3\pi} x c = y c = r 2 x_c=y_c=\frac{r}{2}

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