251.2 square centimeters. According to the query of relevant information, 10×3.14×8=31.4×8=251.2 square centimeters. Area is a quantity that expresses the extent of a two-dimensional figure or shape in a plane or a plane layer. Surface area is the analogue of a two-dimensional surface on a three-dimensional object. Area can be understood as the amount of material of a given thickness necessary to form the model of a shape, or the amount of paint required to cover a surface with a single coat. It is a two-dimensional analog of the length of a curve (one-dimensional concept) or the volume of a solid (three-dimensional concept).