Question

Area of the shaded segment=

Answer 1

The area of the entire sector is
`(\pi)(6^(2)) \left((60)/(360) \right)=6\pi`

The area of the triangle OAB is
`(√(3))/(4)(6^(2))=9√(3)`.

So, the area of the segment is
`\boxed{6\pi-9√(3)}`