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In the figure below OS is the radius of the circle centre O. Chord SQ and TU are extended to meet P and OR is perpendicular to QS at R. OS=61cm, PU=50cm, UT=40cm and PQ=30cm.
(a) Calculate the length of:
(i) QS
(ii) OR
(b) Calculate, correct to 1 decimal place:
(i) The size of angle ROS
(ii) The length of the minor arc QS.