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Geometry
but for how?
22
Mathematics
11th Grade
12/01/2013
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Term
Sin
 Definition
Opposite Leg/Hypotenuse
Term
Cos
 Definition
Adjacent Leg/Hypotnuse
Term
Tan
 Definition
Adjacent Leg/Opposite Leg
Term
Area
 Definition
square = a2
Term
Area
 Definition
rectangle = ab
Term
Area
 Definition
parallelogram = bh
Term
Area
 Definition
trapezoid = h/2 (b1 + b2)
Term
Area
 Definition
circle = pi r 2
Term
Area
 Definition
ellipse = pi r1 r2
Term
Area
 Definition
triangle = (1/2) b h
Term
Area (Misc.)
 Definition
equilateral triangle = (1/4)sqrt(3) a2

triangle given SAS = (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
Term
Volume
 Definition
cube = a3
Term
Volume
 Definition
rectangular prism = a b c
Term
Volume
 Definition
irregular prism = b h
Term
Volume
 Definition
cylinder = b h = [pi] r2 h
Term
Volume
 Definition
pyramid = (1/3) b h
Term
Volume
 Definition
cone = (1/3) b h = 1/3 [pi] r2 h
Term
Volume
 Definition
sphere = (4/3) [pi] r3
Term
Volume
 Definition
ellipsoid = (4/3) pi r1 r2 r3
Term
Surface Area
 Definition
cube = 6 a2
Term
Surface Area
 Definition
prism:
(lateral area) = perimeter(b) L
(total area) = perimeter(b) L + 2b
Term
Surface Area
 Definition
sphere = 4 [pi] r2
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