Non-local means

Geometric shapes

This is a short list of some common mathematical shapes and figures and the formulas that describe them.

Two-dimensional shapes

Shape	Area	Perimeter/Circumference
Square	A = side x side	P = 4 x side
Rectangle	A = l × w	P = 2l + 2w
Circle	A = π × $r^2$	C = 2 × π × r
Ellipse (where a is the semimajor axis and b is the semiminor axis)	A = π × a × b
Triangle	A = ½ × b × h	P = a + b + c
Parallelogram b = base, h = height, a = side	A = b × h	P = 2a + 2b
Trapezoid (where a and b are the bases)	A = ½(a + b) × h

Three-dimensional shapes

Shape	Volume	Surface area
Cube	$V=s^3$	$6s^2$
Rectangular Prism l = length, h = height, w = width	V = l × w × h	S = 2lw + 2lh + 2wh
Sphere	V = ($4/3$) π $r^3$	4π $r^2$
Right Circular Cylinder	V = π × $r^2$ × h	S = 2π rh + 2π $r^2$

LaTeX markup (for writer/editors)

Circle (area and circumfrence)

$C=2\pi r$

$A=\pi r^2$

$dA=\mathrm{d}r\mathrm{d}\theta$

Sphere (area and volume)

$A=4\pi r^2$

$V=\frac{4}{3}\pi r^3$

$dA=r^2\sin \theta d\theta d\varphi$

$\mathrm{d}V=r^2\sin \theta \mathrm{d}r\mathrm{d}\theta \mathrm{d}\phi$