Maths formulas



(pi = pi = 3.141592...)

Area Formulas                                                                                      

Note: "ab" means "a" multiplied by "b". "a2" means "a squared", which is the same as "a" times "a".

Be careful!! Units count. Use the same units for all measurements. Examples

square = a 2
rectangle = ab
parallelogram = bh
trapezoid = h/2 (b1 + b2)
circle = pi r 2
ellipse = pi r1 r2
 

triangle = one half times the base length times the height of the triangle
  
equilateral triangle =

triangle given SAS (two sides and the opposite angle)= (1/2) a b sin C
triangle given a,b,c = sqrt[s(s-a)(s-b)(s-c)] when s = (a+b+c)/2 (Heron's formula)
regular polygon = (1/2) n sin(360°/n) S2
   when n = # of sides and S = length from center to a corner

  Units
Area is measured in "square" units. The area of a figure is the number of squares required to cover it completely, like tiles on a floor.
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared.
If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Be sure to use the same units for all measurements. You cannot multiply feet times inches, it doesn't make a square measurement.
The area of a rectangle is the length on the side times the width. If the width is 4 inches and the length is 6 feet, what is the area?
NOT CORRECT .... 4 times 6 = 24 CORRECT.... 4 inches is the same as 1/3 feet. Area is 1/3 feet times 6 feet = 2 square feet. (or 2 sq. ft., or 2 ft2). 

 trignometry Table                                                                                


Trig Table of Common Angles
angle (degrees) 30 45 60 90 120 135 150 180 210 225 240 270 300 315 330 360 = 0
angle (radians) PI/6PI/4PI/3PI/22/3PI3/4PI5/6PIPI 7/6PI 5/4PI 4/3PI 3/2PI 5/3PI 7/4PI 11/6PI 2PI = 0
sin(a)(0/4)(1/4)(2/4)(3/4)(4/4)(3/4)(2/4)(1/4)(0/4)-(1/4)-(2/4)-(3/4)-(4/4)-(3/4)-(2/4)-(1/4)(0/4)
COs(a)(4/4)(3/4)(2/4)(1/4)(0/4)-(1/4)-(2/4)-(3/4)-(4/4)-(3/4)-(2/4)-(1/4)(0/4)(1/4)(2/4)(3/4)(4/4)
tan(a)(0/4)(1/3)(2/2)(3/1)(4/0)-(3/1)-(2/2)-(1/3)-(0/4)(1/3)(2/2)(3/1)(4/0)-(3/1)-(2/2)-(1/3)(0/4)
Those with a zero in the denominator are undefined. They are included solely to demonstrate the pattern. unit circle picture

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