Circle Geo Question (1 Viewer)

[pikachu975]

http://prntscr.com/dx7oe0

Thanks in advance

 

[Drongoski]

Looks like AB is also 3R + r?

 

[pikachu975]

Looks like AB is also 3R + r?

That's correct but what's the method?

 

[He-Mann]

Excuse the horrific diagram: http://prnt.sc/dxihlj

The idea is to extend the lines like in the diagram. By tangent circle geo theorem, NJ = KJ and OJ = CJ. Since NJ = KJ, then we have ON = CK = 3R + r.

 

[Drongoski]

Excuse the horrific diagram: http://prnt.sc/dxihlj

The idea is to extend the lines like in the diagram. By tangent circle geo theorem, NJ = KJ and OJ = CJ. Since NJ = KJ, then we have ON = CK = 3R + r.

That's exactly how I did it.