MATH FORMULA Flashcards
Volume of Cube
V = s³
SA of Rectangular Prism
SA= 2(LW+HW+LH)
Volume of Triangular Prism
V= bhl/2
SA of Triangular Prism
SA= bh + 3lw
SA of Cube
SA= 6s²
Volume of Rectangular Prism
V = lwh
Volume of Cylinder
V=πr²h
SA of Cylinder
SA= 2πr(r+h)
Volume of Cone
V= 1/3 πr²h
SA of Cone
SA= πr(r+s)
Volume of Sphere
V= 4/3 πr³
SA of Sphere
SA= 4πr²
Volume of Pyramid
V=1/3 lwh
SA of Pyramid
SA= b(b+2h)
Area of Triangle
A= bh/2
Area of Rectangle
A=lw
Perimeter of Rectangle
P= 2(L+w)
Perimeter of Trapezoid
P= a + b1 + b2 + c
Area of Trapezoid
A= h(b1 + b2)/2
Circumference of Circle
C= 2πr
Area of Circle
A= πr²
Diameter of Circle
d= 2r
Perimeter of Square
P= 4s²
Area of Square
A= s²
Perimeter of Parallelogram
P= 2(a+b)
Area of Paralellogram
A=bh
Euler Formula
F+V=E+2
Area Heron’s Formula
A= √s(s-a)(s-b)(s-c)
s= a+b+c/2
Sum of Interior Angle of Polygon
I= (n-2)180°
Number of Intersecting Diagonals
d= n(n-3)/2
Number of Non-intersecting diagonals
d=n-3
Arithmetic Sequence
An = A1+(n-1)d
Arithmetic Series
Sn=n/2 (2a1 + (n-1)d)
OR
Sn= n/2 (a1 + an
Geometric Sequence
an = a1 ( r^n-1)
Geometric Series
Sn= a1 (1-r^n)/1-r^n)
Harmonic Sequence
an= 1/a1 + (n-1)d
Binomial Expansion
nCr × a^n-r × b^r
Law of Sines
sinAlpha/a = sinBeta/b = sinGhama/c
Law of Cosine
a²= b²+c²- 2bc cos Alpha
b²= a²+b² - 2ac cos Beta
c²= a²+b² -2ab - 2ab cos Ghama
Midpoint between two points
M= (x2 + x1 /2 , y2 + y1 /2)
slope intercept form
y = mx + b
Simple Interest
I = Prt
Compound Interest
F = P ( 1 + r/2) ^nt
Combination Formula
nCr = n!/(n-r)!r!
Permutation Formula
nPr= n!(n-r)!
Null Hypothesis
Ho:x1 = x2
Alternative Hypothesis
Ha:x1≠x2
Distance Between two points
d = √(x2-x1)²+(y2-y1)²
Distance between three points
d= √(x2-x1)²+(y2-y1)²+(z2-z1)²
Formula in getting the center of circle(h,k) in equation
-C/2 and -D/2
Slope of a line
y2-y1/x2-x1
Point Slope Form
y-y1=m(x-x1)
Angle between two lines
tan Theta = |m2-m1/1+m1m2|
Distance between a point a line
d= |Ax1 + By1+c|/ √A²+B²
Standard form of Circle in conic sections
(x-h)²+(y-k)²=r²
Horizontal standard form of Parabola
(y-k)²= 4p(x-h)
Vertical standard form of Parabola
(x-k)² = 4p (y-h)
Horizontal standard form of Ellipse
(x-h)²/a² + (y-k)²/b² = 1
Vertical standard form of Parabola
(x-h)²/b² + (y-k)²/a² =1
Horizontal standard form of Hyperbola
(x-h)²/a² - (y-k)²/b² =1
Vertical standard form of Parabola
(y-k)²/a² - (x-h)²/b² =1
Conversion from Degrees to Radians
Degrees × π/180°
Conversion from Radians to Degrees
Radians × 180°/π
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