A smiley face is drawn with React-managed SVG elements, using a yellow circle for the head, two black circles for eyes, and a D3 arc for the mouth. The React component renders the SVG, while the D3 `arc` generator creates the mouth path with specified inner and outer radii and angles. The code uses D3 v5 and React 16.9, with the smiley face centered on a 960 by 500 canvas.