Calculate a Parabolic Dish

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It is extremely difficult to calculate the shape of sheets for a parabolic dish, but it is easy to calculate a form.  A step form for a parabolic dish would consist of a rising series of shrinking circles.

The basic equation for a parabola is x^2 = py.  For total y height and x radius, p = x^2 / y.

For every three to six inch interval for y, x = sqrt(py).  The diameter of each rising, shrinking circle is 2x.  For a parabolic dish of 24 inches wide & 12 inches high, p = (24/2)^2 / 12 = 12.

y p*y  p*y  = x x inches (fraction of inch) * 16
appx= 16ths in
3 36 6.000 6 0 / 16
6 72 8.485 8 8 / 16
9 108 10.392 10 6 / 16
12 144 12.000 12 0 / 16

Formula for the perimeter of a parabolic dish at EFunda Area and Perimeter of a Parabola

UModel 

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