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In the figure below P, Q, R and S are points on the circle centre O. PRT and USTV are straight lines. Line UV is a tangent to the circle at S, #angle #RST=#50^0# and #angle# RTV=#150^0#.
(a) Calculate the size of:
(i) #angle# ORS
(ii) #angle# USP
(iii) #angle# PQR
(b) Given that RT=7 cm and ST=9 cm, calculate to 3 significant figures:
(i)the length of line PR
(ii)the radius of the circle