Area

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat. It is the two-dimensional analogue of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept). Two dif

relation in Euclidean geometry among the three sides of a right triangle

formula for calculating the area of a triangle

generalization of a multiple integral to (possibly)-curved surfaces

theorem

A planimeter, also known as a platometer, is a measuring instrument used to determine the area of an arbitrary two-dimensional shape.

unit of length

formula that the area of a planar polygon whose vertices all have integer coordinates equals the number of interior integer points plus half the number of boundary integer points minus one

theorem

measure of the total area occupied by a mathematical surface (e.g. the boundary of a solid)

modern implementation of the method of indivisibles

theorem that, for a solid of revolution of a planar figure, the surface area equals the figure’s perimeter times the distance the perimeter’s centroid travels, and the volume equals the figure’s area times the distance the figure’s centroid travels

part of a geometric figure regarded as the bottom

theorem that, in a right triangle, the altitude equals the geometric mean of the the two line segments on the hypotenuse created by the altitude

Drug Calculating formula

geometrical theorem of triangles

scientific principle

equality of areas of alternating sectors of a disk with equal angles through any interior point

area enclosed by a circle

In geometry, a quadratrix () is a curve that can be used for quadrature, constructing the area under another curve.

An arpent (, sometimes called arpen) is either of two units of measure, a unit of length or a unit of area. It is a pre-metric French unit based on the Roman actus. It is used in Quebec, some areas of the United States that were part of French Louisiana, and in Mauritius and the Seychelles.

dimensionless quantity that characterizes plant canopies

mathematical algorithm to determine the area of a simple polygon

Relates areas of three parallelograms attached to three sides of an arbitrary triangle

relation between the surface area and the volume of an object

term from classical mechanics

type of region of the Cartesian plane

Concept in 3-dimensional geometry

Plane geometry theorem

tiling puzzle where a set of pieces can be assembled in different ways to produce two or more distinct geometric shapes

type of curve

mathematical problem

n-sided polygon that has diameter 1 and the largest area among all diameter-1 n-gons

polyhedral approximation to a cylinder obtained by stacking antiprisms, used as a pathological example to demonstrate that limits of surface areas of polyhedral approximations do not always equal the true surface area

Geometric construction of a smaller triangle

geometry problem

Unsolved geometry problem about planar regions

a non-self-intersecting curve of positive area