In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
Choices: A) 2 B) 4 C) 8 D) 16 E) None of the above
The answer is C   It takes 3 distinct points to define a circle. Only 2 are given here.   The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 8 8
<result>C</result>
In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ?