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)

$A=4\pi r^{2}$

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

$dA=r^{2}\sin \theta \,d\theta \,d\phi$

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