Mathematical Formulae

$a{x}^2+bx+c=0$
where $a\ne 0$

has roots

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$

Area, $A$ enclosed by a circle:

$$A=\mathrm{\pi }{r}^2$$ where $$r=\mathrm{radius}$$

The circumference, $C$, (the perimeter) of a circle:

$$C=\mathrm{\pi }d$$ where $$d=2r$$

Pythagoras Theorem $$a^2+b^2=c^2$$

Volume of a Pyramid or Cone $$V=\frac{1}{3}\times \text{base area}\times h$$

Area of a Trapezium $$A=\frac{a+b}{2}h$$

$\sin \theta =\frac{\mathrm{opposite}}{\mathrm{hypotenuse}}$

$\cos \theta =\frac{\mathrm{adjacent}}{\mathrm{hypotenuse}}$

$\tan \theta =\frac{\mathrm{opposite}}{\mathrm{adjacent}}$

Sine Rule

$$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$$

Cosine Rule

$$c^2=a^2+b^2-2ab\cos C$$