List of formulas in elementary geometry

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^2	P = 4 x side
Rectangle ( l = length, w = width)	A = l × w	P = 2l + 2w
Circle	A = π × $r^{2}$	C = 2 × π × r or C= π × d
Ellipse (where a is the semimajor axis and b is the semiminor axis)	A = π × a × b
Triangle (b = base, h = height, a,b,c = sides)	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

Sources:^[1]^[2]

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 $r^{2}$

Sources:^[3]

C = \,2\pi r

A = \,\pi r^2

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

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

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