Aires Volumes

  • May 2020
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Longueurs,aires et volumes usuels

a √ 2

Carré Périmètre = 4a Aire = a2 √ Diagonale = a 2

a D

Parallélogramme

C

Aire = Base × Hauteur = b × h b = AB × AD × sin(A)

h b

B

Trapèze (Petite base + Grande base) × Hauteur Aire = 2 (B + b) × h = 2

b h B

Triangle Base × Hauteur b×h Aire = = 2 2 1 b = AB × AC × sin(A) 2

C h b

C

B

a

Triangle équilatéral Périmètre = 3a √ a 3 Hauteur = √ 2 a2 3 Aire = 4

C

√ 2 a

A

B

a/ √ 2

A

A

ℓ L

A

B

a

Cercle, disque R

Périmètre = 2πR Aire = πR

b

Rectangle Périmètre = 2(L + ℓ) Aire = L × ℓ

α

R

2

Triangle rectangle isocèle √ Hypoténuse = a 2 a Hauteur = √ 2 a2 Aire = 2 Secteur angulaire Longueur = Rα (α en radians) αR2 α πR2 = Aire = 2π 2

Parallélépipède rectangle Volume = abc

c a

Sphère Volume =

Cône de révolution

4 3 πR 3

Pyramides Volume =

h S

h

h

S

c Jean-Louis Rouget, 2007. Tous droits réservés.

1 Sh 3

S

1

http ://www.maths-france.fr

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