An approach to defining what is meant by "area" is through axioms. "Area" can be defined as a function from a collection M of a special kinds of plane figures (termed measurable sets) to the set of real numbers, which … See more

Polygon formulas
For a non-self-intersecting (simple) polygon, the Cartesian coordinates $${\displaystyle (x_{i},y_{i})}$$ (i=0, 1, ..., n-1) of whose n See more

Given a wire contour, the surface of least area spanning ("filling") it is a minimal surface. Familiar examples include soap bubbles See more

Every unit of length has a corresponding unit of area, namely the area of a square with the given side length. Thus areas can be measured in square metres (m ), square centimetres (cm ), square millimetres (mm ), square kilometres (km ), See more

Circle area
In the 5th century BCE, Hippocrates of Chios was the first to show that the area of a disk (the region enclosed by a circle) is proportional to the … See more

There are an infinitude of lines that bisect the area of a triangle. Three of them are the medians of the triangle (which connect the sides' midpoints with the opposite vertices), and these are concurrent at the triangle's centroid; indeed, they are the only area bisectors … See more

• Brahmagupta quadrilateral, a cyclic quadrilateral with integer sides, integer diagonals, and integer area.
• Equiareal map
• Heronian triangle, a triangle with integer sides and integer area. See more