Here is another problem I can't seem to solve.

How do you make those two segments(which is the radii of the blue circle) equal when you are given the small circle's center and the big circle's center and ruler and compass?

(It only shows half of a circle, though) (also, the blue circle is touching the small circle externally and touching the big circle internally)

When I extend the two segments, one of them meets the small circle's center and other other meets the big circle's center.

Please help, and it would be really nice if there are easy-to-understand answers.