First find the area of the SECTOR of the circle.....
Then SUBTRACT the area of the TRIANGLE....
r= 11km Area of CIRCLE = pi x r^2 = 3.14 x 11^2 = 380.132 sq km
Area of SECTOR = 60/360 x 380.132 = 63.355 sq km
Area of triangle = (equalateral triangle) = A = (sqrt3)/4 x 11^2 = 52.395 sq km
Area Sector - Area Triangle = area segemnt = 63.355 - 52.395 = 10.96 sq km