Sunday, February 10, 2013

Basic Math Formulas

Introduction to basic math formulas:

Math formula defined as a group of symbols that build a mathematical statement. We are having lots and lots of formulas in math. Here we are going to see some of the basic formula’s in math such as geometric formulas and algebraic formulas. These formulas are very essential to understand the math clearly.


Basic geometric math formulas

Area formulas:

Area of square = a 2
Area of rectangle = ab
Area of parallelogram = bh
Area of trapezoid = `h/2` (b1 + b2)
Area of circle = pi r 2
Area of ellipse = pi r1 r2
Triangle given SAS (two sides and the opposite angle) = (1/2) a b sin C
Triangle
sum of angles = 180°

area = ½ (base x height)



Perimeter formulas:

Perimeter of a square: s + s + s + s
Here s: length of one side

Perimeter of a rectangle: l + w + l + w
w: width and l: length

Perimeter of a triangle: a + b + c
a, b, and c: lengths of the 3 sides

Circle circumference ? 3.14 x diameter
Volume formulas:

Volume of a cube: s × s × s
s: length of one side

Volume of a box: l × w × h
l: length

w: width

h: height

Volume of a sphere: (`4/3` ) × pi × r3
pi: 3.14

r: radius of sphere

Volume of a triangular prism:
Area of triangle × Height = (`1/2` base × height) × Height

base: length of the base of the triangle

height: height of the triangle

Height: height of the triangular prism

Volume of a cylinder: pi × r2 × Height
pi: 3.14

r: radius of the circle of the base

Height: height of the cylinder

Rectangular Solid (Box) volume = length x width x height
Cube volume = (length of side)3
Cylinder volume ? `pi` (radius)2 x height

Basic algebra math formulas


Basic Closure Property of Addition

Sum of 2 real numbers equals a real number

Additive Identity a + 0 = a
Additive Inverse a + (-a) = 0
Associative of Addition (a + b) + c = a + (b + c)
Commutative of Addition  a + b = b + a
Definition of Subtraction a - b = a + (-b)
Basic Closure Property of Multiplication

Product of 2 real’s equals a real number

Multiplicative Identity a * 1 = a
Multiplicative Inverse a * (1/a) = 1     (a? 0)
(Multiplication times 0) a * 0 = 0
Associative of Multiplication  (a * b) * c = a * (b * c)
Commutative of Multiplication a * b = b * a
Distributive Law a(b + c) = ab + ac

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