付録

Geometric Formulas図形の公式

2 Dimensions平面図形

Table C.1表 C.1

Name 名称	Shape 図形	Formulas 公式
Rectangle 長方形		$\begin{array}{c}\text{Perimeter:}P=2l+2w\hfill \\ \text{Area:}A=lw\hfill \end{array}$ $\begin{array}{c}\text{周の長さ：}P=2l+2w\hfill \\ \text{面積：}A=lw\hfill \end{array}$
Square 正方形		$\begin{array}{c}\text{Perimeter:}P=4s\hfill \\ \text{Area:}A=s^2\hfill \end{array}$ $\begin{array}{c}\text{周の長さ：}P=4s\hfill \\ \text{面積：}A=s^2\hfill \end{array}$
Triangle 三角形		$\begin{array}{c}\text{Perimeter:}P=a+b+c\hfill \\ \text{Area:}A=\frac{1}{2}bh\hfill \\ \text{Sum of Angles:}A+B+C=\text{180°}\hfill \end{array}$ $\begin{array}{c}\text{周の長さ：}P=a+b+c\hfill \\ \text{面積：}A=\frac{1}{2}bh\hfill \\ \text{内角の和：}A+B+C=\text{180°}\hfill \end{array}$
Right Triangle 直角三角形		$\begin{array}{}\\ \text{Pythagorean Theorem:}{a}^2+b^2=c^2\hfill \\ \text{Area:}A=\frac{1}{2}ab\hfill \end{array}$ $\begin{array}{}\\ \text{ピタゴラスの定理：}{a}^2+b^2=c^2\hfill \\ \text{面積：}A=\frac{1}{2}ab\hfill \end{array}$
Circle 円		$\begin{array}{cc}\hfill & C=2\pi r\hfill \\ \text{Circumference:}\hfill & \hfill \text{or}\hfill \\ \hfill & C=\pi d\hfill \\ \text{Area:}A=\pi r^2\hfill & \hfill \end{array}$ $\begin{array}{cc}\hfill & C=2\pi r\hfill \\ \text{円周：}\hfill & \hfill \text{または}\hfill \\ \hfill & C=\pi d\hfill \\ \text{面積：}A=\pi r^2\hfill & \hfill \end{array}$
Parellelogram 平行四辺形		$\begin{array}{c}\text{Perimeter:}P=2a+2b\hfill \\ \text{Area:}A=bh\hfill \end{array}$ $\begin{array}{c}\text{周の長さ：}P=2a+2b\hfill \\ \text{面積：}A=bh\hfill \end{array}$
Trapezoid 台形		$\begin{array}{c}\text{Perimeter:}P=a+b+c+B\hfill \\ \text{Area:}A=\frac{1}{2}(B+b)h\hfill \end{array}$ $\begin{array}{c}\text{周の長さ：}P=a+b+c+B\hfill \\ \text{面積：}A=\frac{1}{2}(B+b)h\hfill \end{array}$

3 Dimensions立体図形

Table C.2表 C.2

Name 名称	Shape 図形	Formulas 公式
Rectangular Solid 直方体		$\begin{array}{c}\text{Volume:}V=lwh\hfill \\ \text{Surface Area:}SA=2lw+2wh+2hl\hfill \end{array}$ $\begin{array}{c}\text{体積：}V=lwh\hfill \\ \text{表面積：}SA=2lw+2wh+2hl\hfill \end{array}$
Cube 立方体		$\begin{array}{}\\ \text{Volume:}V=s^3\hfill \\ \text{Surface Area:}SA=6s^2\hfill \end{array}$ $\begin{array}{}\\ \text{体積：}V=s^3\hfill \\ \text{表面積：}SA=6s^2\hfill \end{array}$
Cone 円錐		$\begin{array}{}\\ \text{Volume:}V=\frac{1}{3}\pi r^{2}h\hfill \\ \text{Surface Area:}SA=\pi r^2+\pi r\sqrt{h^2+r^2}\hfill \end{array}$ $\begin{array}{}\\ \text{体積：}V=\frac{1}{3}\pi r^{2}h\hfill \\ \text{表面積：}SA=\pi r^2+\pi r\sqrt{h^2+r^2}\hfill \end{array}$
Sphere 球		$\begin{array}{}\\ \text{Volume:}V=\frac{4}{3}\pi r^3\hfill \\ \text{Surface Area:}SA=4\pi r^2\hfill \end{array}$ $\begin{array}{}\\ \text{体積：}V=\frac{4}{3}\pi r^3\hfill \\ \text{表面積：}SA=4\pi r^2\hfill \end{array}$
Right Circular Cylinder 直円柱		$\begin{array}{}\\ \text{Volume:}V=\pi r^{2}h\hfill \\ \text{Surface Area:}SA=2\pi r^2+2\pi rh\hfill \end{array}$ $\begin{array}{}\\ \text{体積：}V=\pi r^{2}h\hfill \\ \text{表面積：}SA=2\pi r^2+2\pi rh\hfill \end{array}$