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  2. 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 ...

  3. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Square–cube_law

    The square–cube law was first mentioned in Two New Sciences (1638).. The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases.

  4. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    A shape with an area of three square metres would have the same area as three such squares. In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number. There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles.

  5. List of United States cities by area - Wikipedia

    en.wikipedia.org/wiki/List_of_United_States...

    This list ranks the top 150 U.S. cities (incorporated places) by 2024 land area. Total areas including water are also given, but when ranked by total area, a number of coastal cities appear disproportionately larger. San Francisco is an extreme example: water makes up nearly 80% of its total area of 232 square miles (601 km 2).

  6. List of U.S. states and territories by area - Wikipedia

    en.wikipedia.org/wiki/List_of_U.S._states_and...

    This is a complete list of all 50 U.S. states, its federal district (Washington, D.C.) and its major territories ordered by total area, land area and water area. [1] The water area includes inland waters, coastal waters, the Great Lakes and territorial waters. Glaciers and intermittent bodies of water are counted as land area. [2]

  7. List of countries and dependencies by area - Wikipedia

    en.wikipedia.org/wiki/List_of_countries_and...

    Dymaxion map of the world with the 30 largest countries and territories by area. This is a list of the world's countries and their dependencies, ranked by total area, including land and water. This list includes entries that are not limited to those in the ISO 3166-1 standard, which covers sovereign states and dependent territories.

  8. Orders of magnitude (area) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(area)

    Surface area of a Dyson sphere with a radius of 1 AU 10 24: 1 yotta square meter (m 2) 1 square terametre (Tm 2) 1.9 Tm 2: Area swept by Jupiter's orbit around the Sun 6.4 Tm 2: Area swept by Saturn's orbit around the Sun 8.5 Tm 2: Surface area of the red supergiant star Betelgeuse: 10 25 24 Tm 2: Surface area of the hypergiant star VY Canis ...

  9. Surface-area-to-volume ratio - Wikipedia

    en.wikipedia.org/wiki/Surface-area-to-volume_ratio

    Graphs of surface area, A against volume, V of the Platonic solids and a sphere, showing that the surface area decreases for rounder shapes, and the surface-area-to-volume ratio decreases with increasing volume. Their intercepts with the dashed lines show that when the volume increases 8 (2³) times, the surface area increases 4 (2²) times.