Formulas for Math on the CSET®: Geometry and Measurement

Geometry and measurement are areas of math in which you’re urged to not be inaccurate. This, somehow, seems to make it easier to make mistakes. Too often, errors come from not knowing how to handle the different types of equations so it is very important for you to be familiar with these equations.

If you’re preparing for Math on the CSET® Multiple Subjects Test, there’s a 100% chance that you will be finding geometry and measurement questions there. At Union Test Prep, we have reproduced the following set of geometry formulas so you can practice with them. Check this out:

Free CSET® Math Study Materials

Formula Chart for Number Sense, Algebra, and Statistics Problems

Geometry and Measurement Formulas

Category	Formula	Symbols	Comment
Measurement	\(Du=Su \cdot \dfrac{Du}{Su}=Su \cdot CF\)	Du = Desired unit Su = Starting unit CF = Conversion Factor	Multiple Steps may be needed.
Measurement	\(d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}\)	d = Distance between two points \(y_n\) = y value at point n \(x_n\) = x value at point n
Measurement	\(\Sigma \theta = (n-2) \cdot 180^\circ\)	\(\Sigma \theta\) = sum of interior angles n = number of sides of polygon
Measurement	\(a^2+b^2=c^2\)	a, b = legs of a right triangle c = hypotenuse of a right triangle	Pythagorean Theorem
Perimeter	\(C = 2 \cdot \pi \cdot r\) \(C = \pi d\)	C = Circumference (perimeter) of a circle r = Radius d = Diameter
Perimeter	\(s = r \cdot \theta\)	s = arc length r = Radius \(\theta\) = Central angle (in radians)
Perimeter	\(P = s_1+s_2+s_3\)	P = Perimeter of a triangle \(s_n\) = length of side n
Perimeter	\(P = 4 \cdot s\)	P = Perimeter of a square s = length of a side
Perimeter	\(P = (2 \cdot l)+(2 \cdot w)\)	P = Perimeter of a rectangle l = Length of rectangle w = Width of rectangle
Area	\(A = \pi \cdot r^2\)	A = Area of a circle r = Radius
Area	\(A= \dfrac{1}{2} b \cdot h\)	A = Area of a triangle b = Base h = height
Area	\(A=s^2\)	A = Area of a square s = Side length
Area	\(A = l \cdot w\)	A = Area of a rectangle l = Length w = Width
Area	\(A = h \cdot \dfrac{(b_1+b_2)}{2}\)	A = Area of a trapezoid \(b_n\) = Base n h = Height
3-Dimensional Objects	\(SA = \Sigma A_{fi}\)	SA = Surface area of a prism \(A_{fi}\) = Area of face i
3-Dimensional Objects	\(SA = 2B + (C \cdot h)\)	SA = Surface area of a cylinder B = Area of the base C = Circumference of the base h = height
3-Dimensional Objects	\(SA = 4 \cdot \pi \cdot r^2\)	SA = Surface area of a sphere r = Radius of the sphere
3-Dimensional Objects	\(V = l \cdot w \cdot h\)	V = Volume of a rectangular prism l = Length w = Width h = height
3-Dimensional Objects	\(V = \dfrac{1}{3} \cdot (l \cdot w \cdot h)\)	V = Volume of a pyramid l = Length w = Width h = Height
3-Dimensional Objects	\(V = \pi \cdot r^2 \cdot h\)	V = Volume of a cylinder r = Radius h = Height
3-Dimensional Objects	\(V = \dfrac{4}{3} \cdot (\pi \cdot r^3)\)	V = Volume of a sphere r = Radius