Pronunciation: [kɒnkˈe͡ɪv fˈɪɡəz] (IPA) 
The spelling of "concave figures" is phonetically pronounced as /känˌkāv ˈfiɡyərz/. The word "concave" refers to an inward curvature, and it is commonly used to describe objects that have a surface that curves inward. The word "figures" in this context is used to describe shapes or forms. The correct spelling of this term is important to ensure proper communication in fields such as mathematics, engineering, and design.
Concave figures are geometric shapes that possess at least one inwardly curving side or surface. In contrast to convex figures, which have all outwardly curving sides or surfaces, concave figures exhibit a depression or hollow appearance. This inward curvature can be observed in various types of shapes, including polygons, curves, and three-dimensional objects.
In terms of polygons, concave figures are those that have at least one vertex that folds inward, creating an angle greater than 180 degrees. This folding causes the boundary or perimeter of the figure to curve inward rather than outward, resulting in a concavity. Examples of concave polygons include the crescent shape and the star polygon.
When referring to curves, concave figures are characterized by one or more sections that arch inward, creating a concave shape. An arc with its center outside the shape and its endpoints on the curve is one such example. In three-dimensional objects, concave figures have surfaces or sides that curve inward, such as a hollow sphere or a cave-like hollow in a solid object.
Concave figures commonly exhibit properties that distinguish them from convex figures. For instance, light rays entering a concave surface tend to converge, while in convex surfaces, they tend to diverge. Moreover, concave figures are often associated with negative curvatures, as they curve inward and appear to be contracted or depressed.
The word "concave" comes from the Latin word "concavus", which means "hollow or arched inward". It is derived from the prefix "com-" meaning "together" and the Latin word "cavus" meaning "hollow". Therefore, "concave figures" refers to shapes or figures that have curves or surfaces that bend or arch inward.
