SOLUTION: How can write the equation of a sphere given the endpoints of the diameter?

Question 936054: How can write the equation of a sphere given the endpoints of the diameter?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
given the endpoints p1=(x1,y1,z1) and p2=(x2,y2,z2) of a diameter ...
find the center of the sphere, like so:
h = (x1-x2)/2
j = (y1-y2)/2
k = (z1-z2)/2
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now write the general equation for a sphere:
(x - h)^2 + (y - j)^2 + (z - k)^2 = r^2
where:
x,y,z are the coordinates of a point on the surface of the sphere
h,j,k are the coordinates of the center of the sphere
r is the radius of the sphere
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