deck_16931256 Flashcards
Simple interest
prt
Compound interest
P(1+r/n)ⁿᵗ
Area of circle
πr^2
Circumference
2πr
Surface area of sphere
4πr²
Volume of sphere
4/3πr³
Perimeter of a triangle
a+b+c
Volume of cylinder
πr²h
Surface area of sphere
4πr²
Surface area of cylinder
2πrh+2πr²
Quadratic formula
(-b±√b²-4ac)/2a
Area of triangle with sin
(1/2)bc*sinA
Exterior angle of a shape
360°/n
Interior angle of a shape
((n-2)180°)/n
Sine rule
SinA/a = SinB/b = SinC/c
Surface area of cuboid
2(lw+lh+wh)
Volume of cuboid
lbh
Law of cosine
c²=a²+b²−2ab cosC
Speed
d/t
arc length of sector
2πr(θ/360)
arc length of a sector
(θ/360)2πr
Pythagorean theorem
a^2+b^2=c^2
+?
Top left: S
Top right : A
Bottom right: C
Bottom left: T
θ? in ‘+’ A?
0
θ? in ‘+’ S?
180-θ
θ? in ‘+’ T?
180+θ
θ? in ‘+’ C?
360-θ
length of a line
√((x2-x1)²+(y2-y1)²)
slope of a line
(y2-y1)/(x2-x1)
Finding upper bound with division
UB/LB
Finding upper bound with subtracion
UB-LB
Finding lower bound with division
LB/UB
Finding lower bound with subtraction
LB-UB
Area of sector
(θ/360)πr²
How many sides in a quadrilateral
4
How many sides in a pentagon
5
How many sides in a hexagon
6
How many sides in a heptagon
7
How many sides in a octagon
8
How many sides in a nonagon
9
How many sides in a decagon
10
Formula for arc length with degrees
(θ/360)2πr
Geometric sequence
a(r)ⁿ⁻¹
Arithmetic sequence
a+(n-1)d
Frequency density
frequency/class width
Formula for class width
Max value of class - min value of class
Midpoint of a line
{(x1+x2)/2}, {(y1+y2)/2}
Surface area of cone
πrl
Volume of cone
πr²h(1/3)
Volume of pyramid
(lwh)/3
When to use arithmetic formula?
Common difference (-3, -3, -3)
When to use geometric formula?
Common ratio (×2, ×2, ×2)
Find gradient of gradient
d²y/dx²
Finding nature of stationary points
d²y/dx²
Area of trapezium
(a+b/2)*h