Formulas for Addressing the Additional Topics in Math Questions on the SAT® Exam
How to address the Additional Topics in Math questions on the SAT® Exam? First, you have to work on your spatial skills, since most of the questions will be related to geometry. You need to have the skills of visualizing geometric shapes and working with the appropriate formulas for each shape.
That’s where we can help you! In the following formula chart, you’ll find the essential formulas you’ll need for acing those Additional Topics in Math questions! Use them to solve our practice test at Union Test Prep, and prepare for the SAT® Test!
Also, practice using formula charts that cover the other three areas covered by the SAT® Math Test:
For now, try these formulas out in Additional Topics questions:
Category  Formula  Symbols  Comment 

Additional Topics in Math 
\(P=4 \cdot s\)  P = Perimeter of a square s = Side length 

Additional Topics in Math 
\(P=(2 \cdot l)+(2 \cdot w)\)  P = Perimeter of a rectangle l = Length w = Width 

Additional Topics in Math 
\(P=s_1 + s_2 + s_3\)  P = Perimeter of a triangle \(s_n\) = Side length 

Additional Topics in Math 
\(C=2 \cdot \pi \cdot r = \pi \cdot d\)  C = Circumference (perimeter) of a circle r = Radius d = Diameter \(\pi \approx\) 3.14 

Additional Topics in Math 
\(S=r\theta\)  S = Arc length r = Radius \(\Theta\) = Central angle (in radians) 

Additional Topics in Math 
\(A=s^2\)  A = Area of a square s = Side length 

Additional Topics in Math 
\(A = l \cdot w\)  A = Area of a rectangle l = Length w = Width 

Additional Topics in Math 
\(A= \frac{1}{2} \cdot b \cdot h\)  A = Area of a triangle b = Base h = Height (altitude) 

Additional Topics in Math 
\(A = \pi r^2\)  A = Area of a circle r = Radius 

Additional Topics in Math 
\(A= h \cdot \dfrac{(b_1 + b_2)}{2}\)  A = Area of a trapezoid \(b_n\) = Base n h = Height (altitude) 

Additional Topics in Math 
\(V=s^3\)  V = Volume of a cube s = side length 

Additional Topics in Math 
\(V = l \cdot w \cdot h\)  V = Volume of a rectangular prism l = Length w = Width h = Height 

Additional Topics in Math 
\(V = \frac{4}{3} \cdot \pi \cdot r^3\)  V = Volume of a sphere r = Radius 

Additional Topics in Math 
\(V = \pi \cdot r^2 \cdot h\)  V = Volume of a cylinder r = Radius h = height 

Additional Topics in Math 
\(V= \frac{1}{3} \cdot \pi \cdot r^2 \cdot h\)  V = Volume of a cone r = Radius h = Height 

Additional Topics in Math 
\(V= \frac{1}{3} \cdot l \cdot w \cdot h\)  V = Volume of a pyramid l = Length w = Width h = Height 

Additional Topics in Math 
\(d = \sqrt{(y_2y_1)^2 + (x_2x_1)^2}\)  d = Distance between two points \(y_n\) = y value at point n \(x_n\) = x value at point n 

Additional Topics in Math 
\(a^2 + b^2 = c^2\)  a, b = Legs of a right triangle c = Hypotenuse of a right triangle 
Pythagoras’ Theorem 
Additional Topics in Math 
\((xh)^2 + (yk)^2 = r^2\)  (h, k) = Center of a circle r = Radius 
Standard form of a circle 
Additional Topics in Math 
\(x^2+y^2+Ax+By+C=0\)  x, y = variables A, B, C = constants 
General form of a circle 
Additional Topics in Math 
\(sin^2 \theta + cos^2 \theta = 1\)  \(\theta\) = Any angle  
Additional Topics in Math 
\(sin \ 2\theta = 2 \cdot sin \theta \cdot cos \theta\)  \(\theta\) = Any angle  
Additional Topics in Math 
\(cos\ 2\theta = cos^2\theta  sin^2\theta = 2\ cos^2\theta1\)  \(\theta\) = Any angle  
Additional Topics in Math 
\(tan\ 2\theta = \dfrac{2\ tan \theta}{1tan^2 \theta}\)  \(\theta\) = Any angle  
Additional Topics in Math 
\((a+bi) + (c+di) = (a+c) + (b+d)i\)  a, b, c, d = Constants \(i = \sqrt{1}\) 
Addition of complex numbers 
Additional Topics in Math 
\((a+bi) \cdot (c+di) = [(a \cdot c)+(a \cdot d)i] +[(b \cdot c)i+(b \cdot d)(1)]\)  a, b, c, d = Constants \(i = \sqrt{1}\) 
Multiplication of complex numbers 
Additional Topics in Math 
\(\dfrac{a+bi}{c+di} = \dfrac{ac+bd}{c^2+d^2} + i\dfrac{bcad}{c^2+d^2}\)  a, b, c, d = Constants \(i = \sqrt{1}\) 
Division of complex numbers 
Formulas with Graphic Reference:
\[sin\ \theta = \dfrac {opposite}{hypotenuse} = \dfrac{1}{csc\ \theta}\] \[cos\ \theta = \dfrac {adjacent}{hypotenuse} = \dfrac{1}{csc\ \theta}\] \[tan\ \theta = \dfrac {opposite}{adjacent} = \dfrac{1}{csc\ \theta}\] \[\dfrac{a}{sin\ A} = \dfrac{b}{sin\ B} =\dfrac{c}{sin\ C}\] \[a^2 = b^2 + c^2  2\ bc\ cos\ A\] \[b^2 = a^2 + c^2  2\ ac\ cos\ B\] \[c^2 = a^2 + b^2  2\ ab\ cos\ C\]Keep Reading
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