Question 12
A 6-pointed star is drawn by constructing six isosceles triangles with a vertex angle of $30$ degrees on the sides of a regular hexagon. Knowing that the circumference passing through the points of the star has radius $1$, calculate the area of the star itself.
- $\sqrt{3}$
- $\frac{3(\sqrt{3}-1)}{2}$
- $\frac{3(\sqrt{3}+1)}{2}$
- $\frac{3(\sqrt{3}-2)}{2}$
- none of the above.
