Please see the following diagram:
This is an isosceles triangle.
Let the angles be as follow: green = G, red = R, blue = B, purple = P
G = pi - 2B
Now my question is.. Based on the value of blue angle (B)- is it possible to determine the R and P angles given the radius and arc length. The angles are formed by the tangent of the circles at the intersection point
Arc length is the "outside" arc length, for example, for the bottom right circle, it goes from point G to point H. Radius is simple-
All circles have the same radius, R1=R2=R3. As for the arc length, I believe the two bottom circles have the same L1=L2, but the upper circles's will be different.
I tried working it out, I obtained the value for the purple angle to be : 2pi - L/R; Can someone verify this as well? I am mostly interested in the red angle.