Question

Two circles both of radii 6 have exactly one point in common. if a is a point on one circle and b is a point on the other circle, what is the maximum possible length for the line segment ab?

Answer 1

0 (zero) units. If the two circles have exactly one point in common that means the circles will be touching each other either internally or externally. In both the cases, lenght of AB will be zero.

Answer 2

Answer:

the maximum possible length is 24 units

Let's assume a point A on the left end of the first circle and a point B on the right end of the second circle.

So,if we add the distance between them we get (6+6)first circle diameter+(6+6)second circle=24