Sunday, 8 January 2012

Area Formulas


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 =1/2(bh
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


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