Given an arc PQ with curvature $\frac{1}{9}$ Three identical circles with radii 3 and centered at B,G,A respectively. The circumference of the circles pass through each other's centers. Find the area of the shaded region. Would solving angle DHF be possible in this figure? So I could just get the area of the sector DHF and remove excess area. Any other solutions are very much welcome!
I am not really good with geometry and know only a few theorems. I would really appreciate if people could help me out here. Thank you for all your help!