Geometry Page

Distance Between Two Points:
SQRT[(x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2]

Midpoint of a Line Segment:
[(x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2]

For 2D applications, the Z terms drop out.

Geometric Formulas: A is area, C is circumference, V is volume, s is arc length, t is the included angle in radians (1 radian = (180 * degrees)/Pi
 Circle:     Circle Sector:    Triangle:
A = Pi*r^2   A = (1/2)*t*r^2   A = (1/2)*b*h
C = 2*Pi*r   s = r*t           A = (1/2)*a*b*sin(t)

For the triangle, a and b are 2 sides, t is the angle included between a and b.
    Sphere:             Cone:         Cylinder:
V = (4/3)*Pi*r^3    V = (1/3)*b*h    V = Pi*r^2*h 
A = 4*Pi*r^3                         A = 2*Pi*r^2 + 2*Pi*r*h

h is the distance from bottom to top, represented by a line perpendicular to the base. For the cylinder, the base and top must be parallel.
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This page was last updated created September 17, 1996.