Okay, I'm trying to solve this one so that I can finish a programming assignment. I don't know if there's a solution given the information that I have. If not, I'll need to find some other way to complete the program.

Okay, so imagine a standard 5 pointed star like this:

The star is inside a circle. If you know the Cartesian coordinates of all the 10 points of the star (the 10 pointy ends as well as the 5 exterior angles), can you approximate the diameter of the circle? And can you find the center of the circle such that the whole star is within it? The circle has to envelop the star; it doesn't have to be perfectly tight.

The coordinates of the star are (55,0), (67,36), (109,36), (73,54), (83,96), (55,72), (27,96), (37,54), (1,36), and (43,36).

I mean it looks like you can get the diameter by taking the distance from (1,36) to (110,36). You get a circle that should be big enough. But I guess my other question then, is.... how do you find the center of the star?

I'm wondering if there's something I'm not seeing or if there's just not enough information to solve this.