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C

Geometric Formulas

Appendix C Geometric Formulas

Name	Shape	Formulas
Rectangle		$\begin{matrix} Perimeter: P = 2 l + 2 w \\ Area: A = l w \end{matrix} \begin{matrix} Perimeter: \\ Area: \end{matrix}$
Square		$\begin{matrix} Perimeter: P = 4 s \\ Area: A = s^{2} \end{matrix} \begin{matrix} Perimeter: \\ Area: \end{matrix}$
Triangle		$\begin{matrix} Perimeter: P = a + b + c \\ Area: A = \frac{1}{2} b h \\ Sum of Angles: A + B + C = 180° \end{matrix} \begin{matrix} Perimeter: \\ Area: \\ Sum of Angles: \end{matrix}$
Right Triangle		$\begin{matrix} Pythagorean Theorem: a^{2} + b^{2} = c^{2} \\ Area: A = \frac{1}{2} a b \end{matrix} \begin{matrix} Pythagorean Theorem: & Area: \end{matrix}$
Circle		$\begin{matrix} C = 2 π r \\ Circumference: & or \\ C = π d \\ Area: A = π r^{2} \end{matrix} \begin{matrix} C = 2 π r \\ Circumference: & or \\ C = π d \\ Area: \end{matrix}$
Parellelogram		$\begin{matrix} Perimeter: P = 2 a + 2 b \\ Area: A = b h \end{matrix} \begin{matrix} Perimeter: \\ Area: \end{matrix}$
Trapezoid		$\begin{matrix} Perimeter: P = a + b + c + B \\ Area: A = \frac{1}{2} (B + b) h \end{matrix} \begin{matrix} Perimeter: \\ Area: \end{matrix}$

Table C1 2 Dimensions

Name	Shape	Formulas
Rectangular Solid		$\begin{matrix} Volume: V = l w h \\ Surface Area: S A = 2 l w + 2 w h + 2 h l \end{matrix} \begin{matrix} Volume: \\ Surface Area: \end{matrix}$
Cube		$\begin{matrix} Volume: V = s^{3} \\ Surface Area: S A = 6 s^{2} \end{matrix} \begin{matrix} Volume: & Surface Area: \end{matrix}$
Cone		$\begin{matrix} Volume: V = \frac{1}{3} π r^{2} h \\ Surface Area: S A = π r^{2} + π r \sqrt{h^{2} + r^{2}} \end{matrix} \begin{matrix} Volume: & Surface Area: \end{matrix}$
Sphere		$\begin{matrix} Volume: V = \frac{4}{3} π r^{3} \\ Surface Area: S A = 4 π r^{2} \end{matrix} \begin{matrix} Volume: & Surface Area: \end{matrix}$
Right Circular Cylinder		$\begin{matrix} Volume: V = π r^{2} h \\ Surface Area: S A = 2 π r^{2} + 2 π r h \end{matrix} \begin{matrix} Volume: & Surface Area: \end{matrix}$

Table C2 3 Dimensions

C Geometric Formulas · Prealgebra · Physics Playground