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area of circle
πr²
circumference of a circle
2πr
volume of cylinder
πr²h
volume of sphere
4/3 πr³
volume of cone
1/3 πr²h
volume of pyramid
1/3lwh
special right triangles
compounded interest
P(1+ r/n)^nt
rate =?
distance/time
adding concentrations
(concentration of A × Volume of A) + (Concentration of B × volume of B) = final concentration (volume of A + volume of B)
standard form of line
Ax+By=C
standard form of quadratic
ax²+bx+c
vertex
x= -b/2a
point slope form
(y-y₁)=m(x-x₁)
slope intercept form
y=mx+b
sum of solutions of quadratic
-b/a
completing the square
x²+bx+(b/2)²=c+(b/2)²
distance formula
√(x₂-x₁)²+(y₂-y₁)²
range
maximum-minimum
formula for circle
(x-h)²+(y-k)²=r²
central angle and inscribed angle
central angle = 2(inscribed angle)
circle radius and tangent
radius and tangent line are perpendicular
arc, circumference and central angle
x/360 = arc/circumference
central angle, sector, and area of circle
x/360 = sector/area of circle
sum of interior angles of polygon
180(n-2)
density
mass/volume
mode
the value that appears most often
standard deviation
measure of how far the values deviate from the mean
inequality theorem
the length of one side of triangle is less than the sum of other two sides and more than the difference of the other two sides
length of arc
(central angle/360)×2πr
area of sector
(central angle/360)×πr²
i²
-1
i³
-i
i⁴
1
Product of solutions
C/a
Area of equalateral triangle
√3/4 a²