Geometrie Flashcards

1
Q

Umfang Kreis

A

U = 2πr

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2
Q

Flächeninhalt Kreis

A

A = πr^2

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3
Q

Winkelsumme Rechteck

A

360°

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4
Q

Umfang Rechteck

A

U = 2l + 2b

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5
Q

Flächeninhalt Rechteck

A

A = lb

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6
Q

Diagonale Rechteck

A

d = √l^2 + b^2

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7
Q

Einteilung der Dreiecke nach Winkeln

A
  • spitzwinklig
  • rechtwinklig
  • stumpfwinklig
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8
Q

Einteilung der Dreiecke nach Seiten

A
  • gleichseitig
  • gleichschenklig
  • ungleichseitig
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9
Q

Umfang Dreieck

A

U = a+b+c

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10
Q

Flächeninhalt Dreieck (allgemein)

A

1/2 x g x h

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11
Q

Flächeninhalt gleichseitiges Dreieck

A

1/4 x a^2 x √3

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12
Q

Flächeninhalt rechtwinkliges Dreieck

A

1/2 x a x b

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13
Q

Höhe gleichseitiges Dreieck

A

1/2 x a x √3

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14
Q

Höhensatz rechtwinkliges Dreieck

A

h^2 = pq

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15
Q

Kathetensätze rechtwinkliges Dreieck

A
a^2 = cp
b^2 = cq
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16
Q

Satz des Pythagoras

A

a^2 + b^2 = c^2

17
Q

Volumen Prisma

A

V = A(G) x h

18
Q

Oberfläche Prisma

A

O = 2 x A(G) + A(M)

19
Q

Volumen Quader

A

V = lbh

20
Q

Oberfläche Quader

A

O = 2lb + 2lh + 2bh

21
Q

Volumen Zylinder

A

V= π x r^2 x h

22
Q

Flächeninhalt Zylinder

A
A(G) = π x r^2
A(M) = 2πr x h
23
Q

Oberfläche Zylinder

A

O = 2πr^2 + 2πr x h

24
Q

Volumen Kugel

A

V = 4/3 πr^3

25
Q

Oberfläche Kugel

A

O = 4πr^2

26
Q

Volumen Tetraeder

A

V = a^3 x √2 / 12

27
Q

Oberfläche Tetraeder

A

O = a^2x √3

28
Q

Höhe Tetraeder

A

h = a x √6 / 3

29
Q

Volumen Würfel

A

a^3

30
Q

Oberfläche Würfel

A

6a^2

31
Q

Flächeninhalt Würfel A(M)

A

A(M) = 4a^2

32
Q

Raumdiagonale Würfel

A

d = a x √3