Find the equation of the sphere with diameter endpoints (2, -7, -2) and (-4, 3, 2).

Answer 1

Center of sphere is ((2 - 4)/2, (-7 + 3)/2 + (-2 + 2)/2) = (-1, -2, 0).

Radius r² = (2 + 1)² + (-7 + 2)² + (- 2 - 0)² = 9 + 25 + 4 = 38;

Equation of sphere: (x + 1)² + (y + 2)² + z² = 38