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Fläch Flächeninhalt - och Querschnëtt - vu verschiddene geometresche Figuren | Berechnung vum Flächeninhalt am Raum | Kuckt och | Navigatiounsmenü

GeometriePhysikalesch Gréissten


GeometrieMoossFlächFlächemoossePlanimetrieKurvIntegralrechnungKugeluewerfläch












Fläch




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Physikalesch Gréisst
Numm

Flächeninhalt
Uewerfläch
Querschnëttsfläch

Formelzeeche vun der Gréisst
Adisplaystyle A, seelen Fdisplaystyle F, Sdisplaystyle S, Qdisplaystyle Q
Ofgeleet vun
Längt
















Gréissten- an
Eenheetesystem

Eenheet
Dimensioun

SI

Quadratmeter (m2)

L2
CGSQuadratzentimeter (cm2)L2
PlanckPlanck-Fläch
ħ·G·c-3
Anglo-
amerikanesch

acre, sq.in., sq.ft., sq.yd., sq.mi., …
L2

De Flächeninhalt ass an der Geometrie eng Mooss fir d'Gréisst vun enger Fläch. Fir de Flächeninhalt unzeginn, gëtt eng Rei vu Flächemoosse gebraucht. Onregelméissege Fläche gi mat Hëllef vun der Planimetrie bestëmmt.


D'Fläch ënner enger Kurv f(x) berechent ee mat Hëllef vun der Integralrechnung.



Flächeninhalt - och Querschnëtt - vu verschiddene geometresche Figuren |


























Figur/Objet
Formel fir de Flächeninhalt A
Legend

Quadrat

A=a⋅a;A=a2displaystyle A=acdot a,;quad A=a^2

adisplaystyle a,= Säitelängt

Rechteck

A=a⋅bdisplaystyle A=acdot b

a,bdisplaystyle a,,b= Säitelängten

Dräieck (kuckt och: Dräiecksfläch)

A=g⋅h2displaystyle A=gcdot frac h2

gdisplaystyle g,= Längt vun der Grondlinn, hdisplaystyle h,= Héicht rechtwénkleg zu der Grondlinn

Trapez

A=a+c2⋅hdisplaystyle A=frac a+c2cdot h

a,cdisplaystyle a,,c = Säitelängten, hdisplaystyle h, = Héicht rechtwénkleg zu de Säitelinnen

Raut

A=AC¯⋅BD¯2displaystyle A=frac overline ACcdot overline BD2

AC¯,BD¯displaystyle overline AC,overline BD = Diagonalen

Parallelogramm

A=a⋅hadisplaystyle A=acdot h_a

adisplaystyle a,= Säitelängt, hadisplaystyle h_a,= Héicht rechtwénkleg zu der Säitelinn adisplaystyle a

Krees (kuckt och: Kreesfläch)

A=r⋅r⋅π;A=r2⋅πdisplaystyle A=rcdot rcdot pi ,;quad A=r^2cdot pi

rdisplaystyle r,= Radius


Berechnung vum Flächeninhalt am Raum |


  • net gekrëmmte Fläche loosse sech aus den ieweschte Flächen zesummesetzen an da wéi an der Glecht behandelen.


  • Kugel A = 4 · Radius · Radius · πdisplaystyle pi

(kuckt och: Kugeluewerfläch)



Kuckt och |


  • Flächemooss

  • Quadratmeter




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