The area of the sector formed by the 110 degree central angle is 50 units What is the circumference of the circle?

Area or sector = r2X/360 where X is the angle (in degrees) and r is the radius.

So 50 square units = r2*110/360

Area of whole circle = pi*r2 = 50*360/11 = 163.6363..

Therefore r2 = 163.6363../pi = 52.0871 so that r = sqrt(52.0871) = 7.2

And then circumference = 2*pi*r = 45.4 units.