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Useful Geometry Stuff:

Right Triangle and Pythagora's theorem
 
Pythagora's theorem: The two sides a and b of a right triangle and the hypotenuse c are related by
a2 + b 2 = c 2
 
 
Area and Perimeter of Triangle
Perimeter = a + b + c
There are several formulas for the area.
If the base b and the corresponding height h are known, we use the formula
Area = (1 / 2) * b * h.
If two sides and the angle between them are known, we use one of the formulas, depending on which side and which angle are known
Area = (1 / 2)* b * c sin A
Area = (1 / 2)* a * c sin B
Area = (1 / 2)* a * b sin C .
If all three sides are known, we may use Heron's formula for the area.
Area = sqrt [ s(s - a)(s - b)(s - c) ] , where s = (a + b + c)/2.
 
 
Area and Perimeter of Rectangle
Perimeter = 2L + 2W
Area = L * W
 
 
Area of Parallelogram
Area = b * h
 
 
Area of Trapezoid
Area = (1 / 2)(a + b) * h
 
 
Circumference of a Circle and Area of a Circular Region
Circumference = 2*Pi*r
Area = Pi*r 2
 
 
Arclength and Area of a Circular Sector
Arclength: s = r*t
Area = (1/2) *r 2 * t

where t is the central angle in RADIANS.
 
 
Volume and Surface Area of a Rectangular Solid
Volume = L*W*H
Surface Area = 2(L*W + H*W + H*L)
 
 
Volume and Surface Area of a Sphere
Volume = (4/3)* Pi * r 3
Surface Area = 4 * Pi * r 2
 
 
Volume and Surface Area of a Right Circular Cylinder
Volume = Pi * r 2 * h
Surface Area = 2 * Pi * r * h
 
 
Volume and Surface Area of a Right Circular Cone
Volume = (1/3)* Pi * r 2 * h
Surface Area = Pi * r * sqrt (r 2 + h 2)

See also area of regular polygons.

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