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2. Pick's theorem - Wikipedia

   en.wikipedia.org/wiki/Pick's_theorem

   In application areas, the dot planimeter is a transparency-based device for estimating the area of a shape by counting the grid points that it contains. [26] The Farey sequence is an ordered sequence of rational numbers with bounded denominators whose analysis involves Pick's theorem.

3. Shoelace formula - Wikipedia

   en.wikipedia.org/wiki/Shoelace_formula

   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]

4. Area - Wikipedia

   en.wikipedia.org/wiki/Area

   The area of a shape can be measured by comparing the shape to squares of a fixed size. [2] In the International System of Units (SI), the standard unit of area is the square metre (written as m 2 ), which is the area of a square whose sides are one metre long. [ 3 ]

5. Surface area - Wikipedia

   en.wikipedia.org/wiki/Surface_area

   A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

6. Equivalent spherical diameter - Wikipedia

   en.wikipedia.org/wiki/Equivalent_spherical_diameter

   However, real-life particles are likely to have irregular shapes and surface irregularities, and their size cannot be fully characterized by a single parameter. The concept of equivalent spherical diameter has been introduced in the field of particle size analysis to enable the representation of the particle size distribution in a simplified ...

7. Area of a triangle - Wikipedia

   en.wikipedia.org/wiki/Area_of_a_triangle

   The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.