12.3: Geometric Formulas

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Name	Shape	Formulas
Rectangle	$No Alt Text$	$\begin{matrix} Perimeter: P = 2 l + \\ 2 w \\ Area \\ : A = \end{matrix} \begin{matrix} l w \end{matrix}$
Square	$No Alt Text$	$\begin{matrix} Perimeter: P = \\ 4 s \\ Area \\ : A = \end{matrix} \begin{matrix} s^{2} \end{matrix}$
Triangle	$No Alt Text$	$\begin{matrix} Perimeter: P = a + b + \\ c \\ Area \\ : A = \\ \frac{1}{2} b h \\ Sum \\ of Angles: A + B + C = 180° \end{matrix}$
Right Triangle	$No Alt Text$	$\begin{matrix} Pythagorean Theorem: a^{2} + b^{2} = \\ c^{2} \\ Area \\ : A = \end{matrix} \begin{matrix} \frac{1}{2} a b \end{matrix}$
Circle	$No Alt Text$	$\begin{matrix} C = \\ 2 π r \\ Circumference \\ : \\ or \\ C \\ = \\ π d \\ Area \\ : A = \end{matrix} \begin{matrix} π r^{2} \end{matrix}$
Parellelogram	$No Alt Text$	$\begin{matrix} Perimeter: P = 2 a + \\ 2 b \\ Area \\ : A = \end{matrix} \begin{matrix} b h \end{matrix}$
Trapezoid	$No Alt Text$	$\begin{matrix} Perimeter: P = a + b + c + \\ B \\ Area \\ : A = \frac{1}{2} (B + b) \end{matrix} \begin{matrix} h \end{matrix}$

Table C1 2 Dimensions

Name	Shape	Formulas
Rectangular Solid	$No Alt Text$	$\begin{matrix} Volume: V = \\ l w h \\ Surface \\ Area: S A = 2 l w + 2 w h + \end{matrix} \begin{matrix} 2 h l \end{matrix}$
Cube	$No Alt Text$	$\begin{matrix} Volume: V = \\ s^{3} \\ Surface \\ Area: S A = \end{matrix} \begin{matrix} 6 s^{2} \end{matrix}$
Cone	$No Alt Text$	$\begin{matrix} Volume: V = \\ \frac{1}{3} π r^{2} h \\ Surface \\ Area: S A = π r^{2} + π r \sqrt{h^{2}} \sqrt{+} \end{matrix} \begin{matrix} \sqrt{r^{2}} \end{matrix}$
Sphere	$No Alt Text$	$\begin{matrix} Volume: V = \\ \frac{4}{3} π r^{3} \\ Surface \\ Area: S A = \end{matrix} \begin{matrix} 4 π r^{2} \end{matrix}$
Right Circular Cylinder	$No Alt Text$	$\begin{matrix} Volume: V = \\ π r^{2} h \\ Surface \\ Area: S A = 2 π r^{2} + \end{matrix} \begin{matrix} 2 π r h \end{matrix}$

Table C2 3 Dimensions

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