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Area plays an important role in modern mathematics. In addition to its obvious importance in geometry and calculus, area is related to the definition of determinants in linear algebra, and is a basic property of surfaces in differential geometry. [8]
[12] [13] The modern metropolitan statistical area was created in 1983 amid a large increase in the number of eligible markets, which grew from 172 in 1950 to 288 in 1980; [12] [14] the core based statistical area (CBSA) was introduced in 2000 and defined in 2003 with a minimum population of 10,000 required for micropolitan areas and 50,000 for ...
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 ...
The square gets sent to a rectangle circumscribing the ellipse. The ratio of the area of the circle to the square is π /4, which means the ratio of the ellipse to the rectangle is also π /4. Suppose a and b are the lengths of the major and minor axes of the ellipse. Since the area of the rectangle is ab, the area of the ellipse is π ab/4.
The area of one acre (red) superposed on an American football field (green) and Association football/soccer pitch (blue) 1 international acre is equal to the following metric units: 0.40468564224 hectare (A square with 100 m sides has an area of 1 hectare.) 4,046.8564224 square metres (or a square with approximately 63.61 m sides)
A residential area of Ikuri in Tampere, Finland. In certain residential areas, especially rural, large tracts of land may have no services whatever, such that residents seeking services must use a motor vehicle or other transportation, so the need for transportation has resulted in land development following existing or planned transport infrastructure such as rail and road.
Area charts are used to represent cumulated totals using numbers or percentages (stacked area charts in this case) over time. Use the area chart for showing trends over time among related attributes. The area chart is like the plot chart except that the area below the plotted line is filled in with color to indicate volume.
Rood is an English unit of area equal to one quarter of an acre [2] or 10,890 square feet, exactly 1,011.7141056 m 2. A rectangle that is one furlong (i.e., 10 chains, or 40 rods) in length and one rod in width is one rood in area, as is any space comprising 40 perches (a perch being one square rod).