Useful Geometric Formulae

Definitions

a = area, b = base, c = circumference
d = diameter, h = height, l = length
r = radius, w = width, pi = 3.1416

Circle

Area = pi x r sq.
Circumference =pi x d OR 2 pi x r
Diameter = c / pi
Radius = c / 2 pi

Sphere

Circumference = 3.8978 x (cube root of volume)
Diameter = 1.2407 x (cube root of volume)
Diameter = 0.56419 x (square root of surface)
Surface area = c x d
Volume = 0.1667(surface area) x d

Rectangle or Square

Area = l x w

Cube or Rectangular Box

Volume = l x w x h

Triangle

Area = 0.5b x h

Cone

Volume = 0.333h x (area of base)

Cylinder or Prism

Volume = h x (area of base)

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