This was the first lesson in my circles unit, so I needed to introduce some vocabulary first. I gave my students a fill-in-the-blank page with diagrams so that we could discuss the vocabulary as we went.
After that, we talked about arc measures, the Arc Addition Postulate, and congruent angles and arcs. I compiled it all into one foldable.
After the foldable, I worked this spherical problem with my honors students. They were shocked that I was "bringing back trig". The fact that the radius of the sphere could be drawn to different points blew their minds at first. I really liked this problem and included it on their test with different numbers.
You can find this foldable here, in my Teachers pay Teachers store.