Curved figures are shapes that have a smooth, continuous line without any sharp angles or corners. Common examples include circles, ellipses, and arcs. These figures can be found in nature, such as the shape of a rainbow or the outline of a leaf. In mathematics, curved figures are studied in geometry and can be described using equations. For instance, the equation of a circle in a coordinate system is defined by its center and radius. Understanding curved figures is essential in various fields, including art, architecture, and engineering, where they are often used for aesthetic and functional purposes.