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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?

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

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up vote 2 down vote accepted

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 $$ \frac{d}{2} \times \frac{1}{\tan\left(\frac{\alpha}{2}\right)}.$$

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Very interesting idea. I will play arond with this. Thanks so much. –  David Whitten Dec 28 '12 at 2:34
    
@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

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