Distance to circle inside triangle I apologise for the lack of a precise term or title, math isn't my strong suit.

I'm trying to calculate the length of L, given angle A and radius of circle D, so that lines b and c tangents with circle D.



Can anyone help me?
Hint: Using the definition of sine and the orthogonality of the tangent one has
$$\sin\left(\alpha/2\right)=\frac{\text{radius}}{\text{distance from center}}$$
L = R / Sin(A/2)

where R is the radius of the circle and A is the angle