| This was a labor of html for me =) BTW - formulas is also a valid plural form according to Merriam-Webster. Please message me if I made any errors which I'm sure I have.
Two Dimensional Objects
with side of length a
Area = a2
Perimeter = 4a
with sides of length a and width b:
Area = ab
Perimeter = 2a + 2b
with height h and base b and side a:
_________ ___
/ / |
/ / a h
/____b___/ _|_
th = acute angle between a and b
Area = bh = absin(th)
Perimeter = 2a + 2b
with sides a, b, c and height h
___
/\ |
/ \ |
a/ \ c |
/ \ h
/ \ |
/____b_____\ _|_
Area = 0.5 bh = 0.5 ab sin(th) = sqrt(s(s-a)*(s-b)*(s-c))
s = semiperimeter = 0.5 (a + b + c)
Perimeter = a + b + c
with sides a and b and height h
______a______ ___
/ \ |
/ \ h
/ th ph\ |
/_________b_________\ _|_
Area = 0.5 h(a+b)
Perimeter = a + b + h( 1/(sin(th)) + 1/(sin(ph))
with n sides of length b
Area = 0.25 nb2 cot(pi/n)
Perimeter = nb
with radius r
Area = pi r2
Perimeter (Circumference) = 2 pi r
with semimajor axis a and semiminor axis b
Area = pi ab
Perimeter = 2 pi (0.5(a2 + b2)) ...approximately
more exactly, it is ...
0.5 pi
_
/
|
| / a2-b2 \0.5
perimeter = | | 1 - _____ sin(th) | dth
| \ a2 /
|
_/
0
with height a and width of base b
Area = (2/3) ab
Three Dimensional Objects
with side lengths a, b, c
Volume = abc
Surface Area = 2 ( ab + bc + ac)
tilted to angle th
Volume = abc sin(th)
with radius r
Volume = (4/3) pi r3
Surface Area = 4 pi r2
with radius r and height h
Volume = pi r2h
Lateral Surface Area = 2 pi rh
Right Circular Cone
with height h and radius of base r
Volume = (1/3) pi r2h
Lateral Surface Area = pi r(r2 + h2)
With base area = A and height h
Volume = (1/3) Ah
with inner radius a and outer radius b
Volume = 0.25 pi2 (a + b) (b - a)2
Surface Area = pi2 (b2 - a2)
with semi-axes a, b, c
Volume = (4/3) abc
with height a and base radius b
Volume = 0.5 pi b2a
Analytic Geometry
the distance d between two points in space - P1(a,b,c) and P2(x,y,z)
d = ( (x-a)2 + (y-b)2 + (z-c)2)1/2
P1(x1, y1) and P2(x2, y2)
y2 - y1
slope = _______
x2 - x1 | 
