A smiley face is drawn as a collection of SVG shapes, centered on a yellow circle with black stroke, featuring two eyes and a mouth. The visualization demonstrates how React manages the SVG elements while D3's `arc` generator creates the mouth path. The code uses `ReactDOM.render` to mount the component, and the D3 `arc()` function specifies the mouth's inner and outer radii along with its start and end angles. All coordinates are derived from fixed width and height constants, with facial features positioned relative to the center.