flateareal

Flateareal is a Norwegian term used in mathematics, engineering and everyday contexts to denote the area of a flat surface or planar region. The word combines flate (surface or plane) and areal (area) and refers to the two‑dimensional measure of the extent of a shape on a plane.

Calculating flateareal follows standard area formulas for common shapes: rectangle (length × width), triangle (½ × base × height), circle (π × radius^2) and trapezoid ((sum of parallel sides ÷ 2) × height). For polygons it can be obtained by decomposition into triangles or by coordinate methods such as the shoelace formula. Irregular or curved regions are measured by numerical integration, grid approximation, planimeter instruments, or digital techniques in computer‑aided design (CAD) and geographic information systems (GIS).

Units for flateareal are square units (square metres, square centimetres, hectares, acres, etc.), and conversion follows standard area conversion factors. In practice, the term appears in land surveying, architecture (floor area), manufacturing (material coverage), urban planning and environmental studies.

Flateareal is conceptually distinct from surface area of three‑dimensional objects when curved or multiple faces are involved; in those cases total surface area sums the areas of all faces or uses appropriate surface integrals. The term is widely understood in Scandinavian technical and educational contexts where measurements of planar regions are required.