Maths Facts & Formulae Flashcards
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Quadratic Formula
(−b ± √b^2 − 4ab)/2a
Pythagorean theorem
a^2 + b^2 = c^2
Area of a triangle
1/2 * base * height or 1/2*ab sin(C) (C is the angle between a and b)
Cosine rule
a^2 = b^2 +c^2 - 2bc cos(A)
OR
cos(A) = (b^2 + c^2 - a ^2) / 2bc
Sine rule
(sin(A))/a = (sin(B))/b = (sin(C))/c
sin(0)
0
cos(0)
1
Tan(0)
0
sin(30)
1/2
cos(30)
(√3)/2
Tan(30)
1/√3
sin(45)
1/√2
cos(45)
1/√2
Tan(45)
1
sin(60)
(√3)/2
cos(60)
1/2
Tan(60)
√3
sin(90)
1
cos(90)
0
area of a parallelogram
base * perpendicular height
area of a trapezium
1/2(a + b)h
Area of a circle
πr^2
circumference of a circle
2πr
Area of a sector
θ/360 * πr^2
length of an Arc
θπr/180
equation linking pressure force and area
pressure = force / area
equation linking density mass and volume
density = mass/volume
equation linking pressure force and area
pressure = force over area
exterior angle of a polygon
360/n
interior angle + exterior angle
=180
Volume of a Prism
area of cross section * length
Volume of a cylinder
πr^2h
Volume of a pyramid
1/3 * area of base * h
volume of a cone
1/3πr^2h
curved surface area of a cone
πrl
volume of a sphere
4/3*πr^3
