# Compute hyperbolic length of the arc of the circle

Compute the hyperbolic length of the arc of the circle $x^2 + y^2 = 25$ that lies between (3, 4) and (4, 3).

From my notes I know the formula is $$\ln \frac{{\csc \beta - \cot \beta }}{{\csc \alpha - \cot \alpha }}$$

however I don't know how to find $\beta$ and $\alpha$

• can you give more information? (which book are you using, which model and so on – Willemien Mar 17 '15 at 21:59
• I assume that $\alpha$ and $\beta$ are the two sharp angles of the $(3,4;5)$ straight-edged triangle. – Lucian Mar 18 '15 at 2:15