Does it have to be 4*2 in section across the whole arch?
When I've been making circular window frames/sashes (the only curved work I've done really), it started with a polygon (often an octagon, sometimes more sides still on big ones) which is oversize relative to the required section, and removed material down to form the curved shape (lots of techniques are possible; bandsaw, spindle moulder, router and jig, handsaw and compass plane)...