Mathematical Formulae

created by Real World

(thing) by Real World (6.1 y) (print) ? (I like it!) 1 C! Mon Jun 04 2001 at 16:50:08

Circumference of a circle:

Circumference = diameter x pi

Areas

Area of a square:

Area = length x width, or length of one side squared

Area of a rectangle:

Area = length x width

Area of a triangle:

Area = 0.5 x base x perpendicular height

Area of a pentagon:

Area = square of the length of one side x 1.720

Area of a hexagon:

Area = square of the length of one side x 2.598

Area of an octagon:

Area = square of the length of one side x 4.828

Area of a cube:

Area = square of the length of one side x 6

Area of a sphere:

Area = square of the diameter x pi

Area of a circle:

Area = square of the radius x pi

Area of an ellipse:

Area = long diameter x short diameter x 0.7854

Volumes

Volume of a cube:

Volume = cube of the length of one side

Volume of a pyramid:

Volume = area of the base x height x (1/3)

Volume of a cylinder:

Volume = square of the radius of the base x pi x height

Volume of a sphere:

Volume = cube of the radius x pi x (4/3)

Volume of a cone:

Volume = square of the radius of the base x pi x height x (1/3)

Volume of a rectangular solid:

Volume = length x width x height

Triangles

Pythagorean theorem:

The square of the hypotenuse of a right-angled triangle is

equal to the sum of the squares of the other two sides

Law of Sines: (refer to diagram)

In any triangle, a/sinA = b/sinB = c/sinC

Right triangles: (refer to diagram)

a = c x sinA = b x tanA

b = c x cosA = a x cotA

c = a x cosecA = b x secA

For all triangles:

The sum of the angles of a triangle = 180 degrees.

Given two sides (b and c) and one angle (A),

a = square root of (b^2 + c^2 - 2 x b x c x cosA )

Given two angles (A and B) and one side (A),

a = b x sinA/sinB

c = b x sinC/sinB

Given three sides (a, b, and c),

cosA = (b^2 + c^2 - a^2)/2bc

sinB = b/a x sinA

        B
       /|
      / |
     /  |
   c/   |a
   /    |
  /    _|  
 /__b_|_|
A        C

common geometric formulas	formula for the surface area of a sphere	Pythagorean Theorem	pi
The Law of Sines	Square	Taylor Series	Passing efficiency
coding	hexagon	formula for the volume of a sphere	area

Y'know, if you log in, you can write something here, or contact authors directly on the site. Create a New User if you don't already have an account.

Login
Password

Vanish
The line between normal and not	(place)
Vanish
insanity	(thing)
beatrice
You've been slowly taking me over for nearly a year, do you know that?	(idea)
Berek
YouTube	(thing)
shaogo
How to Pretend to Have a Job	(idea)
hapax
Les Provinciales	(review)
zoeb
The Scene	(review)
aneurin
Telephone Numbers for drama purposes	(idea)
Alnilamski
Cosmicopolis	(fiction)
eien_meru
measure	(idea)
Dreamvirus
pussy willow	(thing)
czeano
Three "T"s	(idea)
UncleM
Vantage Point 2: Fractal Thread Count	(idea)
LostPsion
First Fiction: Night	(fiction)
Lysander Peregrine
How to Pretend to Have a Job	(idea)

Everything 2 is brought to you by the letter C and The Everything Development Company