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Area#Area formulas – Size of a two-dimensional surface; Perimeter#Formulas – Path that surrounds an area; List of second moments of area; List of surface-area-to-volume ratios – Surface area per unit volume; List of surface area formulas – Measure of a two-dimensional surface; List of trigonometric identities
Mensuration may refer to: Measurement; Theory of measurement Mensuration (mathematics), a branch of mathematics that deals with measurement of various parameters of geometric figures and many more; Forest mensuration, a branch of forestry that deals with measurements of forest stand; Mensural notation of music
Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
This article consists of tables outlining a number of physical quantities.. The first table lists the fundamental quantities used in the International System of Units to define the physical dimension of physical quantities for dimensional analysis.
The area formula, which generalizes the concept of change of variables in integration. The coarea formula, which generalizes and adapts Fubini's theorem to geometric measure theory. The isoperimetric inequality, which states that the smallest possible circumference for a given area is that of a round circle.
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
Mathematical historian Thomas Heath suggested that Archimedes knew the formula over two centuries earlier, [4] and since Metrica is a collection of the mathematical knowledge available in the ancient world, it is possible that the formula predates the reference given in that work. [5] A formula equivalent to Heron's was discovered by the Chinese:
The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: [6] A = 4πr 2 (sphere), where r is the radius of the sphere.