Question 1136326: Find the equation of the sphere with diameter endpoints (2, -7, -2) and (-4, 3, 2). Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website! Find the equation of the sphere with diameter endpoints (2,-7,-2) and (-4,3,2).
----------------------
d^2 = diffx^2 + diffy^2 + diffz^2 = 36 + 100 + 16 = 152
r^2 = d^2/4 = 38
--------------
The center is ((2-4)/2,(-7+3)/2,(-2-2)/2) --- (x,y,z)
--> (-1,-2,0)
================================
The diameter length is
= = .
The center is (, ,) = (-1,-2,0).
Therefore, the equation of the sphere is
+ + = , or, equivalently,
+ + = , which is
+ + = 38. ANSWER