Are we supposed to be using sin? Actually, how do you even go about solving this problem?

Answer:
Step-by-step explanation:
let the distance between the center of small circle and the angle be x
[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{x+2+4}[/tex]
2x+12=4x
x=6
∴sin([tex]\frac{\alpha }{2}[/tex])=[tex]\frac{2}{6}[/tex]
[tex]\frac{\alpha }{2}[/tex]=19.47122063
α=38.94244127