



 
Austin, The equation of a circle with its centre at the origin is x^{2} + y^{2} = r^{2} where r is the radius. For your problem I think it will be more convenient to work in inches rather than feet so the equation of the circle is
Suppose you move d inches away from the midpoint of the chord. You want the height h in the diagram. Since the equation of the circle is
we have
where y is the length of the line segment AB. Since the length of BC is 300 = 6 = 294 inches
so
Thus, for example if d = 1 ft = 12 inches then
I hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 