A circular sector is the area between two radii of a circle and the arc between them.
The area is indeed given by
pi*r^2*(arc angle/360)
=pi*10.5^2(118/360)
=36.1375 pi cm^2
=113.529... cm^2
Therefore your answer is correct, to the first decimal place.
Perhaps you can check if the question specifies a different accuracy for the answer, or a different value of pi to be used.
