A smiling face is drawn as a yellow circle with black eyes and an arc-shaped mouth, centered in an SVG canvas. The visualization uses React to render the graphic, with D3's `arc` function defining the mouth path based on specified inner and outer radii and angle ranges. The code sets fixed dimensions for the face, eyes, and mouth, and positions elements relative to the canvas center. The SVG elements are styled with fill and stroke attributes, demonstrating a simple composition using React and D3 APIs.