12.3: Geometric Formulas

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

Table C1 2 Dimensions

Name	Shape	Formulas
Rectangular Solid		$\begin{array}{c}\text{Volume:}V=\hfill \\ lwh\hfill \\ \text{Surface}\hfill \\ \text{Area:}SA=2lw+2wh+\hfill \end{array}$
Cube		$\begin{array}{}\\ \text{Volume:}V=\hfill \\ s^3\hfill \\ \text{Surface}\hfill \\ \text{Area:}SA=\hfill \end{array}$
Cone		$\begin{array}{}\\ \text{Volume:}V=\hfill \\ \frac{1}{3}\pi r^{2}h\hfill \\ \text{Surface}\hfill \\ \text{Area:}SA=\pi r^2+\pi r\sqrt{h^2}\sqrt{+}\hfill \end{array}$
Sphere		$\begin{array}{}\\ \text{Volume:}V=\hfill \\ \frac{4}{3}\pi r^3\hfill \\ \text{Surface}\hfill \\ \text{Area:}SA=\hfill \end{array}$
Right Circular Cylinder		$\begin{array}{}\\ \text{Volume:}V=\hfill \\ \pi r^{2}h\hfill \\ \text{Surface}\hfill \\ \text{Area:}SA=2\pi r^2+\hfill \end{array}$

Table C2 3 Dimensions