# Formulas

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Arc Length
Length = Angle/ 360 * 3.14 * diameter
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Area of sectors
Area = Angle/360 * 3.14* radius
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Equation of Straight lines
y=mx+c
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Volume of Prisims
Area of triangles = 1/2 * base * height THEN volume of triangle = Area * height THEN area of circle 3.14*Radius squared THEN volume of circle = Area*Height THEN add both together.
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Volume of Spheres
Volume = 4/3 * 3.14 * radius cubed
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Turning point
(-a,b)
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Converse of Phythagoras
AB(squared) = AC(squared) + BC(squared)
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Tangent
A tangent is a line that only touched a circle at one place. The angle between a tangent and a radius is ALWAYS 90degrees
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Similar Shapes
New/ old
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Trig Graphs - Period
How many times does the graph appear between 0 degrees and 360 degrees?
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Trig Graphs - Amplitude
Distance from centre of graph to the maximum or minimum
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Trig Transformations - F(x) + C
Graph moves up or down
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Trig Transformations - F(x + p)
Graph moves left or right
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Trig Transformations - A F(x)
Vertical Axis multiplies by A
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Trig Transformations- F(bx)
Repeat graph b times
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Trig Identities- 1
Tan x = Sin x/ cos x
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Trig Identities - 2
Sin(squared) x + Cos(squared) x = 1 SO Sin(squared) x = 1 - Cos(squared) x OR Cos(squared) x = 1 - Sin(Squared) x
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Vectors
A vector is something is a value with magnitude and direction
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Vectors - Scalar
A scalar is a value with a magnitude(size) only
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Area of Triangles using Sin Rule
Area = 1/2 * a * b * Sin(angle)
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To find a length in a triangle using Sin Rule
(Only works if theres 2 angles) a/Sin A = b/Sin B = c/Sin C
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## Other cards in this set

### Card 2

#### Front

Area = Angle/360 * 3.14* radius

Area of sectors

y=mx+c

### Card 4

#### Front

Area of triangles = 1/2 * base * height THEN volume of triangle = Area * height THEN area of circle 3.14*Radius squared THEN volume of circle = Area*Height THEN add both together.

### Card 5

#### Front

Volume = 4/3 * 3.14 * radius cubed