A circle is circumscribed around triangle ABC, find length?

[Helly123]

Yes sorry it is angle c.

Your figure should be like this :-
View attachment 205456

sorry, but I still have questions regarding that..
the tetha times R is to find Arc AC right?
while tetha is twice angle ABC ?

 

[Buffu]

sorry, but I still have questions regarding that..
the tetha times R is to find Arc AC right?
while tetha is twice angle ABC ?

For $2\pi - \theta$ not $\theta$ I drew theta other way because it was difficult to draw on the correct side.

 

[Helly123]

Yes sorry it is angle c.

Your figure should be like this :-
View attachment 205456

Can i say 2phi - theta = twice angle ABC?

 

[Buffu]

Can i say 2phi - theta = twice angle ABC?

Yes.

 

[Kaura]

Try to use the previous arc length equation and the law of cosines to find different arc length segments of the circle and work from there