angle AOB = 360 - 310 = 50***amd*** yar bhai please ye bata do.
http://papers.xtremepapers.com/CIE/Cambridge International O Level/Mathematics D (Calculator Version) (4024)/4024_w13_qp_22.pdf
Question 8 ci?
angle OAB = (180-50)/2 [since triangle OAB is isoscles] = 65
sin 65 = hieght of triangle OAB / 6
hieght of triangle OAB = 6 * (sin65) = 5.4378
w = hieght of triangle + radius of circle (http://sketchtoy.com/61164692)
w = 6 + 5.4378 = 11.4378