Figure 1 below shows a circle with centre C C\,C and equation
x2+y2−6x+10y=222x^2 + y^2 - 6x + 10y = 222x2+y2−6x+10y=222
AB AB\,AB is a chord of the circle and the angle ACB ACB\,ACB is 0.8 radians.
Find the area of the minor segment shaded on the diagram. Give your answer to three significant figures.