SQUARE
$\displaystyle Area=a^{2}$
$\displaystyle Perimeter=4a$
$\displaystyle Diagonal=\sqrt{2}a$
$\displaystyle a=\frac{Diagonal}{\sqrt{2}}$

RECTANGLE
$\displaystyle Area=l\times b$  
$\displaystyle Perimeter=2(l+b)$
$\displaystyle Diagonal=\sqrt{l^{2}+b^{2}}$

EQUILATERAL TRIANGLE
$\displaystyle Area=\frac{\sqrt{3}}{4}a^{2}$
$\displaystyle Perimeter=3a$

RIGHT ANGLE TRIANGLE
$\displaystyle Area=\frac{1}{2}bh$
$\displaystyle c=\sqrt{a^{2}+b^{2}}$

SCALENE TRIANGLE
$\displaystyle Perimeter=a+b+c$
$\displaystyle Semiperimeter,s=\frac{a+b+c}{2}$
$\displaystyle Area=\sqrt{s(s-a)(s-b)(s-c)}$

TRAPEZOID
$\displaystyle Area=\frac{1}{2}(a+b)h$

HEXAGON
$\displaystyle Area=\frac{3\sqrt{3}}{2}a^{2}$
$\displaystyle Perimeter=6a$

CIRCLE
$\displaystyle Area=\pi r^{2}=\frac{\pi d^{2}}{4}$
$\displaystyle Circumference=2\pi r=\pi d$

SEMI-CIRCLE
$\displaystyle Area=\frac{\pi r^{2}}{2}=\frac{\pi d^{2}}{8}$
$\displaystyle Circumference=r(\pi +2)$
Length of Arc, $\displaystyle l=\pi r$

QUADRANT OF CIRCLE
$\displaystyle Area=\frac{\pi r^{2}}{4}=\frac{\pi d^{2}}{16}$

SECTOR
$\displaystyle Area=\frac{\pi r^{2}\theta }{360}=\frac{lr}{2}$
$\displaystyle Perimeter=2r+l$
Length of Arc, $\displaystyle l=\frac{2\pi r\theta }{360}$

CIRCULAR RING
$\displaystyle Area=\pi (R^{2}-r^{2})$
$\displaystyle Area=\frac{\pi}{4} (D^{2}-d^{2})$

ELLIPSE
$\displaystyle Area=\pi ab$

CUBE
$\displaystyle Volume=a^{3}$
Lateral Surface Area $\displaystyle =4a^{2}$
Total Surface Area $\displaystyle =6a^{2}$

CUBOID
$\displaystyle Volume=lbh$
Lateral Surface Area $\displaystyle =2h(l+b)$
Total Surface Area $\displaystyle =2(lb+bh+hl)$

SPHERE
$\displaystyle Volume=\frac{4}{3}\pi r^{3}=\frac{1}{6}\pi d^{3}$
Total Surface Area $\displaystyle =4\pi r^{2}$

CYLINDER
$\displaystyle Volume=\pi r^{2}h=\frac{\pi }{4}d^{2}h$
Lateral Surface Area $\displaystyle =2\pi rh$
Total Surface Area $\displaystyle =2\pi r(h+r)$

HOLLOW CYLINDER
$\displaystyle Volume=\pi (R^{2}-r^{2})h$
$\displaystyle Volume=\frac{\pi }{4} (D^{2}-d^{2})h$

CONE
$\displaystyle Volume=\frac{1}{3}\pi r^{2}h=\frac{1}{12}\pi d^{2}h$
Lateral Surface Area $\displaystyle =\pi rs$
Total Surface Area $\displaystyle =\pi r(s+r)$
$\displaystyle s=\sqrt{r^{2}+h^{2}}$

FRUSTUM OF CONE