# Finding intersecting points of a circle inside a triangle

If I have a triangle, and I wanted to place a circle with a given diameter that fits snuggly inside any one of the three angles, how can I find the x, y points of where the triangle and circle meet?

-
Follow-up question: math.stackexchange.com/questions/266554/… – user53153 Jan 4 '13 at 19:01

As a hint: if the diameter is $d$ and the angle at a specific vertex is $\alpha$ then the distances from that vertex along each side is $$\frac{d}{2} \times \frac{1}{\tan\left(\frac{\alpha}{2}\right)}.$$
@David When you write a follow-up question, like you did at math.stackexchange.com/questions/266554/… , it's a good idea to link the questions to each other, as I did in comments. SE software detects intrasite links and puts them in the Linked sidebar on the right. – user53153 Jan 4 '13 at 19:04