Formulas for Math on the ParaPro Test: Part 2—Geometry and Measurement
Geometry and measurement are areas of Math where students tend to struggle a lot. If you’re studying for the ParaPro Math Test, then you’re going to be asked about how to determine areas, perimeters, volumes… and how to teach them to your students, so you’ll need to dominate the formulas first.
That’s why we’ve prepared a formula chart with the geometry and measurement formulas you’ll need if you want to ace the ParaPro Test and teach the subject you love! You’ll also need these two formula charts for some questions:
Formulas for ParaPro Number Sense and Algebra Questions
Formulas for ParaPro Data Analysis Questions
Also, check out our mathematics study guide for more indepth information about each formula. Ready to test your knowledge? Try our mathematics practice questions and flashcards.
Geometry and Measurement Formulas for the ParaPro Test
Category  Formula  Symbols  Comment 

Geometry and Measurement 
\(Du = Su \cdot \dfrac{Du}{Su} = Su \cdot CF\)  \(Du =\) Desired Unit \(Su =\) Starting Unit \(CF =\) Conversion Factor 
Multiple Steps may be needed 
Geometry and Measurement 
\(P = 4 \cdot s\)  \(P =\) Perimeter of a square \(s=\) side length 

Geometry and Measurement 
\(P = 2l + 2w\)  \(P =\) Perimeter of a rectangle \(l =\) length \(w =\) width 

Geometry and Measurement 
\(P = s_1 + s_2 + s_3\)  \(P =\) Perimeter of a triangle \(s_n =\) side length 

Geometry and Measurement 
\(C = 2 \cdot \pi \cdot r = \pi \cdot d\)  \(C =\) Perimeter of a circle \(r =\) radius \(d =\) diameter \(\pi \approx 3.14\) 

Geometry and Measurement 
\(s = r \cdot \theta\)  \(s =\) arc length \(r =\) radius \(\theta =\) central angle (radians) 

Geometry and Measurement 
\(A = s^2\)  \(A =\) Area of a square \(s =\) side length 

Geometry and Measurement 
\(A = l \cdot w\)  \(A =\) Area of a rectangle \(l =\) length \(w =\) width 

Geometry and Measurement 
\(A = \frac{1}{2}bh\)  \(A =\) Area of a triangle \(b =\) base \(h =\) height 

Geometry and Measurement 
\(A = \pi \cdot r^2\)  \(A =\) Area of a circle \(r =\) radius 

Geometry and Measurement 
\(A = h \cdot \dfrac{b_1 +b_2}{2}\)  \(A =\) Area of a trapezoid \(b_n =\) base n \(h =\) height 

Geometry and Measurement 
\(V = s^3\)  \(V =\) Volume of a cube \(s =\) side length 

Geometry and Measurement 
\(V = l\cdot w \cdot h\)  \(V =\) Volume of a rectangular prism \(l =\) length \(w =\) width \(h =\) height 

Geometry and Measurement 
\(V= \frac{4}{3} \cdot \pi \cdot r^3\)  \(V =\) Volume of a sphere \(r =\) radius 

Geometry and Measurement 
\(V = \pi \cdot r^2 \cdot h\)  \(V =\) Volume of a cylinder \(r =\) radius \(h =\) height 

Geometry and Measurement 
\(V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h\)  \(V =\) Volume of a cone \(r =\) radius \(h =\) height 

Geometry and Measurement 
\(V = \frac{1}{3} lwh\)  \(V =\) Volume of a pyramid \(l =\) length \(w =\) width \(h =\) height 

Geometry and Measurement 
\(SA = \Sigma A_{fi}\)  \(SA =\) Surface Area of a Prism \(A_{fi} =\) Area of face i 

Geometry and Measurement 
\(SA = \Sigma A_{fi}\)  \(SA =\) Surface Area of a Pyramid \(A_{fi} =\) Area of face i 

Geometry and Measurement 
\(SA = 2B + C\cdot h\)  \(SA =\) Surface Area of a Cylinder \(B =\) Area of the Base \(C =\) Circumference of the Base \(h =\) height 

Geometry and Measurement 
\(SA = B + \frac{1}{2} \cdot C \cdot l\)  \(SA =\) Surface Area of a Cone \(B =\) Area of the Base \(C =\) Circumference of the Base \(l =\) slant height 

Geometry and Measurement 
\(SA = 4 \pi r^2\)  \(SA =\) Surface Area of a Sphere \(r =\) radius of the sphere 

Geometry and Measurement 
\(d = \sqrt{(y_2  y_1)^2 + (x_2  x_1)^2}\)  \(d =\) distance between two points \(y_n =\) y score at point n \(x_n =\) x score at point n 

Geometry and Measurement 
\(a^2 + b^2 = c^2\)  \(a,b =\) legs of a right triangle \(c =\) hypotenuse of a right triangle 

Geometry and Measurement 
\((xh)^2 + (y  k)^2 = r^2\)  \((h,k) =\) center of a circle \(r =\) radius 
Standard form of a circle 
Geometry and Measurement 
\(x^2 + y^2 + Ax + By + C = 0\)  \(x,y =\) variables \(A, B, C =\) constants 
General form of a circle 
Geometry and Measurement 
\(\cos ^2 \theta + \sin ^2 \theta = 1\)  
Geometry and Measurement 
\(\sin 2\theta = 2 \cdot \sin \theta \cdot \cos \theta\)  
Geometry and Measurement 
\(\cos 2 \theta = \cos ^2 \theta  \sin ^2 \theta = 2 \cos ^2 \theta  1\)  
Geometry and Measurement 
\(\tan (2\theta) = \dfrac{ 2 \tan \theta}{1\tan ^2 \theta}\) 
Formulas Requiring Graphics
\[\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\] \[a^2= b^2 +c^2  2bc \cos A\] \[b^2 = a^2 + c^2  2ac \cos B\] \[c^2 = a^2 + b^2  2ab \cos C\]Keep Reading
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