Given: ∆ABC, m∠A = 35°

Circle k(O, r=3)
O∈ AB
Find: Perimeter of ∆ABC

1 answer

arc length s = rθ
so, the perimeter of ABC is 2r+rθ = 2*3 + 3*(35/360)(2π)

Not quite sure what O has to do with it. Maybe there is more that I have not discerned, and you can finish it up.

I have assumed that the central angle C is 35°. Rereading the post, I have some doubts about that. Is ABC just some arbitrary triangle? Is AB an arc of the circle with center at O? But you say O is on the line? arc? AB.