[Math] Maximum Distance between points on circle

circles

What is the greatest possible distance between two points: one on a circle with radius 1
and centre (1; 2) and the other on a circle with radius 2 and centre (4; 6)

I am not familiar with the equation of a circle, is there a way to do this without using the circle equation?

Best Answer

There is a way to do this without using the circle equation, yes.

Hint: start by simplifying it. Given a point and a circle, what is the greatest possible distance between that point and a point on the circle? Then how can you use that result to solve your problem?