Geometry Flashcards

Learn geometry formulas

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1
Q

Circumference of a circle

A

2πr

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2
Q

Diameter of a circle

A

2r

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3
Q

Area of a circle

A

πr^2

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4
Q

Area of a square

A

S^2

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5
Q

Perimeter of a square

A

4s

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6
Q

Area of a rectangle

A

LW

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7
Q

Perimeter of a rectangle

A

2L + 2W

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8
Q

Special angles

A
5. 12. 13
3  4   5
7 24 25
8 15 17
9 40 41
11 60 61
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9
Q

Area of triangle

A

1/2 bh

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10
Q

Area of triangle with one angle and 2 sides

A

1/2 absinc

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11
Q

Area of triangle with 3 sides

A

S=a+b+c/2

A=√s(s-a)(s-b)(s-c)

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12
Q

Rule of similar triangles

A

When you have 2 similar triangles equate their sides dividing.e.g x/y = b/z

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13
Q

In a triangle: Convert 45° side to 90° side

And 90° side to 45° side

A

45° side to 90° side= side 45°× √2

90° side to 45° side= side 45°÷ √2

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14
Q

2 Qualities of a iscoceles triangle

A

Has a 45° angle

All sides are equal

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15
Q

Primary angle of a square

A

90°

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16
Q

In a triangle,convert: 30° side to 90° side

90° side to 30° side

A

90° to 30°(sides)= 90° side ÷ 2

30° to 90° side=30° side × 2

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17
Q

In a triangle: convert 30° side to 60° side

convert 60° side to 30° side

A

30° side to 60° side = 30° side × √3

60° side to 30° side = 60° side ÷ √3

18
Q

Area of a sector

A

Theta/360 ×πr^2

19
Q

Arc length of a sector

A

Theta/360 × 2πr

20
Q

Area of a trapezoid

A

1/2(b1 + b2)h

21
Q

Area of a parallelogram

A

B×h

22
Q

Qualities of a rhombus

A

Opposite angles are equal

The angles always Add up to 360°

23
Q

Perimeter of a rhombus

A

4s

24
Q

Area of a rhombus

A

1/2(d1)(d2)

D is the addition of opposite sides in the rhombus

25
Q

Surface area of a sphere

A

4πr^2

26
Q

Volume of a sphere

A

4\3 πr^3

27
Q

Volume of a rectangular prism

A

Lwh

28
Q

Surface area if rectangular prism

A

2lw + 2wh +2lh

29
Q

Distance of a rectangular prism

A

√l^2 + w^2 + h^2

30
Q

Volume of a Cube

A

V= x^3

31
Q

Surface of a cube

A

6x^2

32
Q

Length of the longest diagonal of a cube

A

√3x^2

33
Q

Volume of a cylinder

A

πr^2h

34
Q

Lateral area of cylinder

A

2πrh

35
Q

Surface area of a cylinder

A

2πrh + 2πr ^2

36
Q

Volume of a cone

A

1/3 πr^h

37
Q

Lateral area of a cone

A

πr

38
Q

Surface area of a cone

A

πrl +πr^2

39
Q

A^2 +2AB+ B^2

A

(A+B)^2

40
Q

A^2 - 2AB +B^2

A

(A-B)^2

41
Q

Area of a circular sector

A

1/2 theta r^2