Sat-Act-Success Math Formula Sheet

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SAT-ACT-Success Math Formula Sheet
%
Area of Circle: ! = #$
Equation of a Circle:
%
%
%
5 − ℎ
+ 7 − @
= $
Center of Circle: (ℎ, @)
Area of Rectangle: ! = &'
%
Equation of a Line: 7 = B5 + *
Area of Square: ! = (
C
)
)
Slope “B”:
Inverse Slope: 5 à −
Area of Triangle: ! =
*ℎ
D
D
%
C
C
)
=E
F
Slope w/ 2 Points:
Area of Trapezoid: ! =
(*
+ *
)ℎ
)
%
D
:D
%
=
F
Area of Parallelogram: ! = &ℎ
D
D
C
C
Midpoint Formula:
=G
F
,
=G
F
%
%
Circumference of Circle: / = 2#$
Isosceles : 2 sides equal, 2 angles
equal
Volume of Cube: 1 = &'ℎ
Equilateral : All sides equal, all
%
Volume of Cylinder: 1 = #$
angles 60°
2
3
Volume of Sphere: 1 =
#$
All = 180° All Lines = 180°
3
All circles = 360° All squares = 360°
Distance formula:
4 =
5
− 5
%
+ 7
− 7
%
Special Triangles: 3,4,5 / 5,12,13
%
)
%
)
45-45-90 = 1,1, 2 30-60-90 = 1, 3, 2
%
%
%
Pythagorean Theorem: 8
+ *
= 9
Degrees of any Polygon: J − 2 180
=
:;± ;
:2>?
(N = number of sides)
Quadratic Formula: 5 =
%>
PQQ
>TU
PQQ
%
SOHCAHTOA: (OJ =
9S( =
V8J =
O = −1
O
= −1
RCQ
RCQ
>TU
Area of Shaded Region: Total – Known = Unknown
# Radians = 180°
Exponent Rules: MADSPM = Multiplying exponents, Add. Dividing exponents,
Subtract. Raising exponents to another Power, Multiply.

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