Studied by 283 peoplePythagorean theorem
a^2 + b^2 = c^2
Circumference of a circle
C= (3.14)(d)
Area of a circle
A=(3.14)(r^2)
distance formula
D=(r)(t)
arithmetic sequence formula (explicit)
an = a1 + (n - 1)d
Sum of arithmetic sequence
S = (n/2) (a1 +(a1+(n-1)d)) or S = (n/2) (a1 + an)
Geometric sequence formula
an=a1(r)^n-1
Geometric Series formula Finite
Sn = a1 (1-r^n) / (1-r)
Combination formula
nCr=n!/r!(n-r)
Permutation
nPr=n!/(n-r)!
parabola
y=a(x-h)^2+k
circle
(x-h)^2+(y-k)^2
ellipse
((x-h)^2/a^2) + ((y-k)^2/b^2)= 1
hyperbola
((x-h)^2/a^2) - ((y-k)^2/b^2)= 1
Inscribed angle
IA=central angle(or intercepted arc)/2
Property of Parallelogram
Opposite sides are parallel and congruent
opposite angles are congruent
consecutive angles are supplementary
diagonals bisect each other
Property of Rectangle
4 90 degree angles
Property of Rhombus
4 congruent sides
Property of Square
4 90 degree angles and sides
Property of Trapezoid
one set of parallel sides
isosceles trapezoid
one set of parallel sides and 2 congruent sides
trigonometry functions
a sin (b(x-c))+d
area of trapezoid
a= (b1+b2/2)(h)
volume of a pyramid
B(length x width) x H
volume of a cone
(1/3)(pi)(r^2)(h)
volume of a cylinder
(pi)(r^2)(h)
volume of sphere
4/3(pi)(r^3)
volume of rectangular prisim
b x w x h
sum of angles in polygon
n=(n-2)(180)
single interior angle
n= (n-2)(180)/n
Trig Ratios/SOHCAHTOA
s=o/h, c=a/h, t=o/a
Reciprocal Trig Ratios
Csc=h/o, sec=h/a, cot=a/o
Slope formula 2 points on a line
Slope formula: 
the slope of a line and a point on the line
Point-slope formula: y - y1 = m(x - x1)
the slope and y-intercept of a line
Slope-intercept formula: y = mx + b
Parallel lines have equal slopes
The slopes of perpendicular lines are opposite reciprocals
Note
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