The distance of centre of mass of a uniform semicircular disc of radius R, from the geometric center on the axis of symmetry is

Explanation

Making use of the result obtained in the previous example, distance OC of the mass center form the center is `OC = (r sin (pi//4))/(pi//4) = (2sqrt2r)/(pi)`
Coordinates of the mass center `(x_c, y_c) are ((2r)/pi,(2r)/pi)`