Verified Answer :

Sectors are portions of the circle which are similar to pizza slices. The area of a sector is equal to pi r^2 theta. Theta here is expressed in radians. Hence we convert 110 degrees to radians ( 110pi/180) equal to 11 pi / 18. In this case, we substitute: 

50 = 11 pi /18
(r^2) * pi
r then is equal to 2.88 units