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Flashcards in Equations etc Deck (51):
1

Area of a Circle

πr²

2

Circumference of a circle

2πr

3

Arc length

(Beta)
——- x 2πr
(360)

4

Area of a parallelogram

base x perpendicular height

5

Area of a trapezium

1/2(a+b)h

6

volume of a prism

area x cross section x length

7

volume of a pyramid

1
— x area of base x h
3

8

volume of a sphere

4
—- x πr³
3

9

curved surface area

πrl

10

volume of a cone

1
— x πr ² x h
3

11

Area of a triangle

1/2 x base x height

12

Area of a triangle (when c is between a and b)

1/2 x a x b x sin(C)

13

Cosine rule (When to use)

find an angle when given 3 sides or when given 2 sides and 1 angle

14

Sine rule (when to use)

find a length given 2 sides and 1 side or find an angle given 2 sides and 1 angle

15

interior angle + exterior angle

180 Degrees

16

Exterior angle

360
——
n

17

speed

speed= distance
————
Time

18

Density

Density= Mass
———
Volume

19

Pressure

pressure= Force
———
Area

20

Area of a sector of a circle

(BÊTA/360)xPI x rSQUARED

21

Circle theorem for angle at centre or circumference

« The angle si tended at the centre is twice that sub tended at the circumference by the same arc/chord”

22

Angle at circumference with Diameter

“Angle subtended at circumference by the diameter is 90 degrees”

23

Angles at circumference by arc or chord

“Angles subtended at the circumference by the same arc/cord are equal”

24

Opposite angles in a cyclic quadrilateral

“Opposite angles in a cyclic quadrilateral add up to 180”

25

Alternate segment Theorem

“Angle between a chord and tangent is the same as an angle subtended by that chord at the circumference in an alternate segment”

26

Radius and tangent rule

“Radius is perpendicular to the tangent”

27

Radius perpendicular to the chord rule

“When the radius is perpendicular to the chord, it bisects that chord”

28

Perpendicular bisector of a chord and the diameter

“The perpendicular bisector of a chord is the diameter of the circle”

29

Tangents at the same point

“Two tangents drawn from the same point are equal in length”

30

Angles around a point...

Sum up to 360 degrees

31

Angles on a straight line...

Sum to 180 degrees

32

Opposite angles are...

Equal

33

Parallel lines: alternate angles are..

Equal

34

Parallel lines: corresponding angles are..

Equal

35

Parallel lines: co interior angles...

Add up to 180

36

2D shapes: Polygons
Interior angle + exterior angle =

180 degrees

37

2D shapes: Polygons
Total exterior angles of an N-sided polygon =

360 degrees

38

2D shapes: Polygons
Total interior angles of an n sided polygon =

180(n-2)

39

2D shapes: Polygons
One exterior angle of a regular n sided polygon =

360/n

40

2D shapes: Polygons
One interior angle of a regular n sided polygon =

180(n-2)
————-
n

41

ASF =

LSFsquared

42

VSF=

LSFcubed

43

Reflection transformation

State “reflection” and the line of symmetry

44

Rotation transformation

State “rotation” and the centre, angle and direction of rotation

45

Translation transformation

State “translation” and the VECTOR it’s shifted by

46

Enlargement transformation

State “enlargement” and the centre of enlargement and scale factor

47

F(x + t) + s

Becomes..

Translation by vector

(-t)
(S)

48

Af(x)

Stretch by scale factor a in the y direction

49

F(ax)

Stretch by scale factor 1/a in the x direction

50

-f(x)

Reflection in the x axis

51

F(-x)

Reflection in the y axis