Is there Even any Area?

I made a note on finding this area here . To start off, the angle given $(27.5^{\circ})$ is supplementary to the angle of the tangents' intersection. We can, then, easily find that angle: $180-27.5=152.5$ . Since tangent lines form perpendicular angles, we can take the area of the sector, the area of the triangle formed by the lines, and take the difference, leaving the area in-between the triangles and the circle according to the formula on the note: $a_{t}=\dfrac{r^{2}}{\tan\left ( \dfrac{\beta}{2} \right )}- \dfrac{\pi \cdot r^{2}\alpha}{360}$ If we apply the angles to the equation (remember, we have a unit circle, so r=1), we get $\boxed{0.004715671}$ , which we round to four places to get the correct answer of $\boxed{0.0047}$ .