A Uniform Thin Wire Has a Length $L=\pi R$ And Is Bent into a Semicircular Arc of Radius R

Short Answer

A uniform thin wire has a length $L=\pi R$ and is bent into a semicircular arc of radius R. If the wire starts at (x, y) = (R, 0) and curves counterclockwise to (x, y) = (-R, 0), what is the y coordinate of its centre of mass?