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Area

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:''This article explains the meaning of area as a physical quantity. The article area (geometry) is more mathematical. See also area (disambiguation).'' '''Area''' is a physical quantity expressing the size of a part of a surface. '''Surface area''' is the summation of the areas of the exposed sides of an object (philosophy) object.

Units
Image:Area.png right|201px Units for measuring surface area include: :square metre = SI derived unit :are = 100 square metres :hectare = 10,000 square metres :square kilometre = 1,000,000 square metres :square megametre = 10¹² square metres Imperial units, as currently defined from the metre: :square foot (plural square feet) = 0.09290304 square metres :square yard = 9 square feet = 0.83612736 square metres :square perch = 30.25 square yards = 25.2928526 square metres :acre = 160 square perches or 43,560 square feet = 4046.8564224 square metres :square mile = 640 acres = 2.5899881103 square kilometres Old European area units, still in used in some private matters (e.g. land sale advertisements) :square fathomor fahomia in some sources = 3.5967 square metres :cadastral moon(acre) = 1600� square fathoms = 5755 square metres The article Orders of magnitude links to lists of orders of magnitude (area) objects of comparable surface area.

Useful formulas
*Area of a rectangle (and, in particular, a square (geometry) square): length × width *Area of a triangle: ½ × base × altitude (triangle) height *Area of a disk (mathematics) disk: pi Ï€ × radius r² *Area of an ellipse: pi Ï€ × semi-major axis a × semi-minor axis b *Area of a sphere: 4 × pi Ï€ × radius r² = π × diameter d² (which is the first derivative of the formula for volume of a sphere) *Area of a trapezoid: If a and b are the two parallel sides and h is the distance (height) between the parallels, the area formula is as below: :$A=\backslash frac\{1\}\{2\}(a+b)h$ or $A=\backslash frac\{h(a+b)\}\{2\}$ *Total surface area of a right circular cylinder: 2 × pi Ï€ × radius r × (height h + radius r) *Lateral surface area of a right circular cylinder: 2 × pi Ï€ × radius r × height h *Total surface area of a right circular cone: pi Ï€ × radius r × (slant height l + radius r) *Lateral surface area of a right circular cone: pi Ï€ × radius r × slant height l *Area of a surface of revolution: :$S\_\{area\}=2\; \backslash pi\; \backslash int\_\{a\}^\{b\}\; f(x)\; \backslash sqrt\{1+(f\text{'}(x))^2\}dx$

External links

- Area Converter
- Area Conversion table Category:Area * als:Fläche ar:مساحة be:Плошча bg:Площ ca:Àrea cs:Povrch cy:Arwynebedd da:Areal de:Fläche el:Έκταση eo:Areo et:Pindala fa:مساحت fi:Pinta-ala fo:Vídd fr:Superficie gu:ક�ષેત�રફળ he:שטח hr:Površina ia:Superficie io:Areo is:Flatarmál ja:�� ka:ფ�რთ�ბი ko:면� la:Area li:Oppervlak lt:Plotas lv:Platība mg:Velarantany nl:Oppervlakte nn:Flatevidd no:Areal pl:Powierzchnia pt:�rea ru:Площадь simple:Area sl:Površina sv:Ytmått th:พื้นที่ uk:Площа vi:Diện tích zh:�积 zh-min-nan:Bīn-chek {{catmore}} {{popcat}} Category:Physical quantity lv:Category:Platība ko:Category:면� {| class="toccolours" align=center cellpadding="2" cellspacing="0" style="margin:3px auto; font-size: smaller; clear: both; text-align:center; padding:0.5em 1em;" | align="center" colspan=10|'''Area orders of magnitude'''
SI unit: square metre
---------------- |- | '''1 E-30 m² 1 fm²''' | '''1 E-24 m² 1 pm²''' | '''1 E-18 m² 1 nm²''' | '''1 E-12 m² 1 µm²''' | '''1 E-6 m² 1 mm²''' | '''''1 E0 m² 1 m²''''' | '''1 E6 m² 1 km²''' | '''1 E12 m² 1 Mm²''' | '''1 E18 m² 1 Gm²''' | '''1 E24 m² 1 Tm²''' |- | 1 E-29 m² 10 fm² | 1 E-23 m² 10 pm² | 1 E-17 m² 10 nm² | 1 E-11 m² 10 µm² | 1 E-5 m² 10 mm² | 1 E1 m² 10 m² | 1 E7 m² 10 km² | 1 E13 m² 10 Mm² | 1 E19 m² 10 Gm² | 1 E25 m² 10 Tm² |- | 1 E-28 m² 100 fm² | 1 E-22 m² 100 pm² | 1 E-16 m² 100 nm² | 1 E-10 m² 100 µm² | 1 E-4 m² 100 mm² | 1 E2 m² 100 m² | 1 E8 m² 100 km² | 1 E14 m² 100 Mm² | 1 E20 m² 100 Gm² | 1 E26 m² 100 Tm² |- | 1 E-27 m² 1,000 fm² | 1 E-21 m² 1,000 pm² | 1 E-15 m² 1,000 nm² | 1 E-9 m² 1,000 µm² | 1 E-3 m² 1,000 mm² | 1 E3 m² 1,000 m² | 1 E9 m² 1,000 km² | 1 E15 m² 1,000 Mm² | 1 E21 m² 1,000 Gm² | 1 E27 m² 1,000 Tm² |- | 1 E-26 m² 10,000 fm² | 1 E-20 m² 10,000 pm² | 1 E-14 m² 10,000 nm² | 1 E-8 m² 10,000 µm² | 1 E-2 m² 10,000 mm² | 1 E4 m² 10,000 m² | 1 E10 m² 10,000 km² | 1 E16 m² 10,000 Mm² | 1 E22 m² 10,000 Gm² | 1 E28 m² 10,000 Tm² |- | 1 E-25 m² 100,000 fm² | 1 E-19 m² 100,000 pm² | 1 E-13 m² 100,000 nm² | 1 E-7 m² 100,000 µm² | 1 E-1 m² 100,000 mm² | 1 E5 m² 100,000 m² | 1 E11 m² 100,000 km² | 1 E17 m² 100,000 Mm² | 1 E23 m² 100,000 Gm² | 1 E29 m² 100,000 Tm² |-}

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