The center and radius of the sphere whose endpoints of a diameter (1,3,6) and (-3,1,4) are

A) $( - 1 , - 2,5 ) ; \sqrt { 7 }$
B) $( - 1,2 , - 5 ) ; \sqrt { 6 }$
C) $( 1 , - 2 , - 5 ) ; \sqrt { 6 }$
D) $( - 1,2,5 ) ; \sqrt { 7 }$
E) $( - 1 , - 2,5 ) ; \sqrt { 6 }$

Question

The center and radius of the sphere whose endpoints of a diameter (1,3,6) and (-3,1,4) are

A) $( - 1 , - 2,5 ) ; \sqrt { 7 }$
B) $( - 1,2 , - 5 ) ; \sqrt { 6 }$
C) $( 1 , - 2 , - 5 ) ; \sqrt { 6 }$
D) $( - 1,2,5 ) ; \sqrt { 7 }$
E) $( - 1 , - 2,5 ) ; \sqrt { 6 }$

Quizplus · Accepted Answer

The center of the sphere is the midpoint of the diameter, which is $(-1,-2,5)$. The radius is half the distance between the endpoints of the diameter, which is $\sqrt{6}$.

The Center and Radius of the Sphere Whose Endpoints of a Diameter